957680640 has 264 divisors, whose sum is σ = 3793664160. Its totient is φ = 218824704.

The previous prime is 957680639. The next prime is 957680641. The reversal of 957680640 is 46086759.

It is an interprime number because it is at equal distance from previous prime (957680639) and next prime (957680641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957680641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321076 + ... + 324044.

It is an arithmetic number, because the mean of its divisors is an integer number (14369940).

Almost surely, 2^957680640 is an apocalyptic number.

957680640 is a gapful number since it is divisible by the number (90) 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 957680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896832080).

957680640 is an abundant number, since it is smaller than the sum of its proper divisors (2835983520).

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

957680640 is a wasteful number, since it uses less digits than its factorization.

957680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 957680640 is about 30946.4156244306. The cubic root of 957680640 is about 985.6897399595.

The spelling of 957680640 in words is "nine hundred fifty-seven million, six hundred eighty thousand, six hundred forty".