957651120 has 160 divisors (see below), whose sum is σ = 3325501440. Its totient is φ = 253290240.

The previous prime is 957651119. The next prime is 957651127. The reversal of 957651120 is 21156759.

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

It is not an unprimeable number, because it can be changed into a prime (957651127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272575 + ... + 276065.

It is an arithmetic number, because the mean of its divisors is an integer number (20784384).

Almost surely, 2^957651120 is an apocalyptic number.

957651120 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 957651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662750720).

957651120 is an abundant number, since it is smaller than the sum of its proper divisors (2367850320).

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

957651120 is a wasteful number, since it uses less digits than its factorization.

957651120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 957651120 is about 30945.9386672953. The cubic root of 957651120 is about 985.6796120669.

The spelling of 957651120 in words is "nine hundred fifty-seven million, six hundred fifty-one thousand, one hundred twenty".