957672960 has 160 divisors (see below), whose sum is σ = 3223186560. Its totient is φ = 241901568.

The previous prime is 957672959. The next prime is 957672971. The reversal of 957672960 is 69276759.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 142639 + ... + 149201.

It is an arithmetic number, because the mean of its divisors is an integer number (20144916).

Almost surely, 2^957672960 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 957672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611593280).

957672960 is an abundant number, since it is smaller than the sum of its proper divisors (2265513600).

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

957672960 is a wasteful number, since it uses less digits than its factorization.

957672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 957672960 is about 30946.2915387288. The cubic root of 957672960 is about 985.6871050806.

The spelling of 957672960 in words is "nine hundred fifty-seven million, six hundred seventy-two thousand, nine hundred sixty".