957089952 has 576 divisors, whose sum is σ = 3667991040. Its totient is φ = 240371712.

The previous prime is 957089941. The next prime is 957089971. The reversal of 957089952 is 259980759.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20363593 + ... + 20363639.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2^957089952 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 957089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833995520).

957089952 is an abundant number, since it is smaller than the sum of its proper divisors (2710901088).

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

957089952 is a wasteful number, since it uses less digits than its factorization.

957089952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 957089952 is about 30936.8704299578. The cubic root of 957089952 is about 985.4870437010.

The spelling of 957089952 in words is "nine hundred fifty-seven million, eighty-nine thousand, nine hundred fifty-two".