957792640 has 128 divisors (see below), whose sum is σ = 2628172800. Its totient is φ = 326965248.

The previous prime is 957792629. The next prime is 957792653. The reversal of 957792640 is 46297759.

957792640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1966477 + ... + 1966963.

It is an arithmetic number, because the mean of its divisors is an integer number (20532600).

Almost surely, 2^957792640 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 957792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314086400).

957792640 is an abundant number, since it is smaller than the sum of its proper divisors (1670380160).

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

957792640 is a wasteful number, since it uses less digits than its factorization.

957792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The square root of 957792640 is about 30948.2251510486. The cubic root of 957792640 is about 985.7281636757.

The spelling of 957792640 in words is "nine hundred fifty-seven million, seven hundred ninety-two thousand, six hundred forty".