957116160 has 864 divisors, whose sum is σ = 4499808768. Its totient is φ = 181370880.

The previous prime is 957116137. The next prime is 957116179. The reversal of 957116160 is 61611759.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531479 + ... + 11531561.

It is an arithmetic number, because the mean of its divisors is an integer number (5208112).

Almost surely, 2^957116160 is an apocalyptic number.

957116160 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 957116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249904384).

957116160 is an abundant number, since it is smaller than the sum of its proper divisors (3542692608).

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

957116160 is a wasteful number, since it uses less digits than its factorization.

957116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 957116160 is about 30937.2939993142. The cubic root of 957116160 is about 985.4960388181.

The spelling of 957116160 in words is "nine hundred fifty-seven million, one hundred sixteen thousand, one hundred sixty".