957117564 has 144 divisors (see below), whose sum is σ = 2690688000. Its totient is φ = 285005952.

The previous prime is 957117563. The next prime is 957117569. The reversal of 957117564 is 465711759.

957117564 is a `hidden beast` number, since 9 + 5 + 71 + 17 + 564 = 666.

957117564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (264600) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957117563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4004557 + ... + 4004795.

Almost surely, 2^957117564 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 957117564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345344000).

957117564 is an abundant number, since it is smaller than the sum of its proper divisors (1733570436).

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

957117564 is a wasteful number, since it uses less digits than its factorization.

957117564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 499 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 957117564 is about 30937.3166903660. The cubic root of 957117564 is about 985.4965206947.

The spelling of 957117564 in words is "nine hundred fifty-seven million, one hundred seventeen thousand, five hundred sixty-four".