957911040 has 156 divisors (see below), whose sum is σ = 3320991804. Its totient is φ = 255393792.

The previous prime is 957911039. The next prime is 957911063. The reversal of 957911040 is 40119759.

It can be written as a sum of positive squares in 2 ways, for example, as 391090176 + 566820864 = 19776^2 + 23808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 957910986 and 957911004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181722 + ... + 186918.

It is an arithmetic number, because the mean of its divisors is an integer number (21288409).

Almost surely, 2^957911040 is an apocalyptic number.

957911040 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 957911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660495902).

957911040 is an abundant number, since it is smaller than the sum of its proper divisors (2363080764).

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

957911040 is a wasteful number, since it uses less digits than its factorization.

957911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 957911040 is about 30950.1379641513. The cubic root of 957911040 is about 985.7687797760.

The spelling of 957911040 in words is "nine hundred fifty-seven million, nine hundred eleven thousand, forty".