957098640 has 120 divisors (see below), whose sum is σ = 3152030400. Its totient is φ = 240195584.

The previous prime is 957098633. The next prime is 957098641. The reversal of 957098640 is 46890759.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 957098640.

It is not an unprimeable number, because it can be changed into a prime (957098641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62461 + ... + 76259.

It is an arithmetic number, because the mean of its divisors is an integer number (26266920).

Almost surely, 2^957098640 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 957098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576015200).

957098640 is an abundant number, since it is smaller than the sum of its proper divisors (2194931760).

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

957098640 is a wasteful number, since it uses less digits than its factorization.

957098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13849 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 957098640 is about 30937.0108446178. The cubic root of 957098640 is about 985.4900256170.

The spelling of 957098640 in words is "nine hundred fifty-seven million, ninety-eight thousand, six hundred forty".