956939940 has 384 divisors, whose sum is σ = 3499776000. Its totient is φ = 214617600.

The previous prime is 956939923. The next prime is 956939947. The reversal of 956939940 is 49939659.

956939940 is a `hidden beast` number, since 9 + 569 + 39 + 9 + 40 = 666.

956939940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (956939947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6884391 + ... + 6884529.

It is an arithmetic number, because the mean of its divisors is an integer number (9114000).

Almost surely, 2^956939940 is an apocalyptic number.

956939940 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 956939940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888000).

956939940 is an abundant number, since it is smaller than the sum of its proper divisors (2542836060).

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

956939940 is a wasteful number, since it uses less digits than its factorization.

956939940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 956939940 is about 30934.4458492471. The cubic root of 956939940 is about 985.4355533799.

The spelling of 956939940 in words is "nine hundred fifty-six million, nine hundred thirty-nine thousand, nine hundred forty".