956947680 has 576 divisors, whose sum is σ = 3883396608. Its totient is φ = 212336640.

The previous prime is 956947661. The next prime is 956947699. The reversal of 956947680 is 86749659.

956947680 is a `hidden beast` number, since 9 + 569 + 4 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (956947661) and next prime (956947699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9865392 + ... + 9865488.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2^956947680 is an apocalyptic number.

956947680 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 956947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941698304).

956947680 is an abundant number, since it is smaller than the sum of its proper divisors (2926448928).

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

956947680 is a wasteful number, since it uses less digits than its factorization.

956947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 956947680 is about 30934.5709522534. The cubic root of 956947680 is about 985.4382101996.

The spelling of 956947680 in words is "nine hundred fifty-six million, nine hundred forty-seven thousand, six hundred eighty".