957960 has 64 divisors (see below), whose sum is σ = 3196800. Its totient is φ = 255168.

The previous prime is 957959. The next prime is 957977. The reversal of 957960 is 69759.

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 15 ways as a sum of consecutive naturals, for example, 637 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

2⁹⁵⁷⁹⁶⁰ is an apocalyptic number.

957960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598400).

957960 is an abundant number, since it is smaller than the sum of its proper divisors (2238840).

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

957960 is a wasteful number, since it uses less digits than its factorization.

957960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 957960 is about 978.7543103353. The cubic root of 957960 is about 98.5785574104.

The spelling of 957960 in words is "nine hundred fifty-seven thousand, nine hundred sixty".