957904 has 40 divisors (see below), whose sum is σ = 2053440. Its totient is φ = 430848.

The previous prime is 957889. The next prime is 957917. The reversal of 957904 is 409759.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 957904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6924 + ... + 7060.

It is an arithmetic number, because the mean of its divisors is an integer number (51336).

2⁹⁵⁷⁹⁰⁴ 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 957904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026720).

957904 is an abundant number, since it is smaller than the sum of its proper divisors (1095536).

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

957904 is a wasteful number, since it uses less digits than its factorization.

957904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 957904 is about 978.7257021250. The cubic root of 957904 is about 98.5766364858.

The spelling of 957904 in words is "nine hundred fifty-seven thousand, nine hundred four".