957523968 has 72 divisors (see below), whose sum is σ = 2765558250. Its totient is φ = 319168512.

The previous prime is 957523961. The next prime is 957523969. The reversal of 957523968 is 869325759.

957523968 is a `hidden beast` number, since 9 + 57 + 523 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 902882304 + 54641664 = 30048^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (957523961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7543 + ... + 44406.

Almost surely, 2^957523968 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 957523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382779125).

957523968 is an abundant number, since it is smaller than the sum of its proper divisors (1808034282).

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

957523968 is a wasteful number, since it uses less digits than its factorization.

957523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51977 (or 51954 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 957523968 is about 30943.8841776529. The cubic root of 957523968 is about 985.6359856429.

The spelling of 957523968 in words is "nine hundred fifty-seven million, five hundred twenty-three thousand, nine hundred sixty-eight".