904968 has 24 divisors (see below), whose sum is σ = 2451150. Its totient is φ = 301632.

The previous prime is 904933. The next prime is 904987. The reversal of 904968 is 869409.

904968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 412164 = 702^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6213 + ... + 6356.

2⁹⁰⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

904968 is an abundant number, since it is smaller than the sum of its proper divisors (1546182).

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

904968 is a wasteful number, since it uses less digits than its factorization.

904968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12581 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 904968 is about 951.2980605467. The cubic root of 904968 is about 96.7262626300.

The spelling of 904968 in words is "nine hundred four thousand, nine hundred sixty-eight".