957972576 has 288 divisors, whose sum is σ = 3022766208. Its totient is φ = 263208960.

The previous prime is 957972527. The next prime is 957972607. The reversal of 957972576 is 675279759.

It is a super-2 number, since 2×957972576² = 1835422912736151552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13122876 + ... + 13122948.

It is an arithmetic number, because the mean of its divisors is an integer number (10495716).

Almost surely, 2^957972576 is an apocalyptic number.

957972576 is a gapful number since it is divisible by the number (96) 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 957972576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511383104).

957972576 is an abundant number, since it is smaller than the sum of its proper divisors (2064793632).

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

957972576 is a wasteful number, since it uses less digits than its factorization.

957972576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 57.

The square root of 957972576 is about 30951.1320633026. The cubic root of 957972576 is about 985.7898878491.

The spelling of 957972576 in words is "nine hundred fifty-seven million, nine hundred seventy-two thousand, five hundred seventy-six".