904032 has 72 divisors (see below), whose sum is σ = 2666664. Its totient is φ = 290304.

The previous prime is 904027. The next prime is 904049. The reversal of 904032 is 230409.

904032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 903996 and 904014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 904032.

It is an unprimeable number.

904032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12348 + ... + 12420.

It is an arithmetic number, because the mean of its divisors is an integer number (37037).

2⁹⁰⁴⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333332).

904032 is an abundant number, since it is smaller than the sum of its proper divisors (1762632).

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

904032 is a wasteful number, since it uses less digits than its factorization.

904032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 904032 is about 950.8059738979. The cubic root of 904032 is about 96.6929034345.

The spelling of 904032 in words is "nine hundred four thousand, thirty-two".