956564640 has 336 divisors, whose sum is σ = 3470493600. Its totient is φ = 248956416.

The previous prime is 956564639. The next prime is 956564647. The reversal of 956564640 is 46465659.

956564640 is a `hidden beast` number, since 9 + 565 + 6 + 46 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (956564647) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6881691 + ... + 6881829.

It is an arithmetic number, because the mean of its divisors is an integer number (10328850).

Almost surely, 2^956564640 is an apocalyptic number.

956564640 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 956564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735246800).

956564640 is an abundant number, since it is smaller than the sum of its proper divisors (2513928960).

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

956564640 is a wasteful number, since it uses less digits than its factorization.

956564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 956564640 is about 30928.3792009863. The cubic root of 956564640 is about 985.3067113260.

The spelling of 956564640 in words is "nine hundred fifty-six million, five hundred sixty-four thousand, six hundred forty".