905904 has 60 divisors (see below), whose sum is σ = 2640456. Its totient is φ = 300672.

The previous prime is 905897. The next prime is 905909. The reversal of 905904 is 409509.

It is a happy number.

905904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 905904.

It is not an unprimeable number, because it can be changed into a prime (905909) 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, 3772 + ... + 4004.

2⁹⁰⁵⁹⁰⁴ 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 905904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320228).

905904 is an abundant number, since it is smaller than the sum of its proper divisors (1734552).

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

905904 is a wasteful number, since it uses less digits than its factorization.

905904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 905904 is about 951.7898927810. The cubic root of 905904 is about 96.7595988313.

The spelling of 905904 in words is "nine hundred five thousand, nine hundred four".