956817664 has 216 divisors, whose sum is σ = 2348801280. Its totient is φ = 386580480.

The previous prime is 956817611. The next prime is 956817689. The reversal of 956817664 is 466718659.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12111577 + ... + 12111655.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^956817664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

956817664 is an abundant number, since it is smaller than the sum of its proper divisors (1391983616).

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

956817664 is a wasteful number, since it uses less digits than its factorization.

956817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 956817664 is about 30932.4694132234. The cubic root of 956817664 is about 985.3935792199.

The spelling of 956817664 in words is "nine hundred fifty-six million, eight hundred seventeen thousand, six hundred sixty-four".