18364032 has 96 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 5792256.

The previous prime is 18364019. The next prime is 18364033. The reversal of 18364032 is 23046381.

It is a happy number.

18364032 is a `hidden beast` number, since 18 + 3 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 18363987 and 18364005.

It is not an unprimeable number, because it can be changed into a prime (18364033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21469 + ... + 22307.

It is an arithmetic number, because the mean of its divisors is an integer number (580125).

Almost surely, 2^18364032 is an apocalyptic number.

18364032 is a gapful number since it is divisible by the number (12) 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 18364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

18364032 is an abundant number, since it is smaller than the sum of its proper divisors (37327968).

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

18364032 is a wasteful number, since it uses less digits than its factorization.

18364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 18364032 is about 4285.3275254057. The cubic root of 18364032 is about 263.8290904816.

The spelling of 18364032 in words is "eighteen million, three hundred sixty-four thousand, thirty-two".