18004032 has 140 divisors (see below), whose sum is σ = 56058816. Its totient is φ = 5702400.

The previous prime is 18004013. The next prime is 18004033. The reversal of 18004032 is 23040081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18003996 and 18004014.

It is not an unprimeable number, because it can be changed into a prime (18004033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119157 + ... + 119307.

Almost surely, 2^18004032 is an apocalyptic number.

18004032 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 18004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029408).

18004032 is an abundant number, since it is smaller than the sum of its proper divisors (38054784).

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

18004032 is a wasteful number, since it uses less digits than its factorization.

18004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 18004032 is about 4243.1158362694. The cubic root of 18004032 is about 262.0937061624.

It can be divided in two parts, 1800 and 4032, that added together give a cube (5832 = 18³).

The spelling of 18004032 in words is "eighteen million, four thousand, thirty-two".