957520960 has 224 divisors, whose sum is σ = 2662732800. Its totient is φ = 324311040.

The previous prime is 957520957. The next prime is 957520961. The reversal of 957520960 is 69025759.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (957520961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6888571 + ... + 6888709.

It is an arithmetic number, because the mean of its divisors is an integer number (11887200).

Almost surely, 2^957520960 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 957520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331366400).

957520960 is an abundant number, since it is smaller than the sum of its proper divisors (1705211840).

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

957520960 is a wasteful number, since it uses less digits than its factorization.

957520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 43.

The square root of 957520960 is about 30943.8355735032. The cubic root of 957520960 is about 985.6349535378.

The spelling of 957520960 in words is "nine hundred fifty-seven million, five hundred twenty thousand, nine hundred sixty".