18648 has 48 divisors (see below), whose sum is σ = 59280. Its totient is φ = 5184.

The previous prime is 18637. The next prime is 18661. The reversal of 18648 is 84681.

18648 is a *`hidden beast`* number, since 18 + 648 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6, base 8 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (1235).

2^{18648} is an apocalyptic number.

18648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640).

18648 is an abundant number, since it is smaller than the sum of its proper divisors (40632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18648 is a wasteful number, since it uses less digits than its factorization.

18648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18648 is about 136.5576801209. The cubic root of 18648 is about 26.5182027542.

It can be divided in two parts, 18 and 648, that multiplied together give a square (11664 = 108^{2}).

The spelling of 18648 in words is "eighteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648

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