957968 has 20 divisors (see below), whose sum is σ = 2025168. Its totient is φ = 435360.

The previous prime is 957959. The next prime is 957977. The reversal of 957968 is 869759.

It is an interprime number because it is at equal distance from previous prime (957959) and next prime (957977).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957968.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2546 + ... + 2897.

2⁹⁵⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

957968 is an abundant number, since it is smaller than the sum of its proper divisors (1067200).

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

957968 is a wasteful number, since it uses less digits than its factorization.

957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5456 counting only the distinct ones).

The product of its digits is 136080, while the sum is 44.

The square root of 957968 is about 978.7583971543. The cubic root of 957968 is about 98.5788318221.

Subtracting from 957968 its reverse (869759), we obtain a square (88209 = 297²).

The spelling of 957968 in words is "nine hundred fifty-seven thousand, nine hundred sixty-eight".