656964 has 96 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 168480.

The previous prime is 656959. The next prime is 656977. The reversal of 656964 is 469656.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 656964.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8277 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2⁶⁵⁶⁹⁶⁴ 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 656964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

656964 is an abundant number, since it is smaller than the sum of its proper divisors (1493436).

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

656964 is a wasteful number, since it uses less digits than its factorization.

656964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 656964 is about 810.5331578659. The cubic root of 656964 is about 86.9321706742.

The spelling of 656964 in words is "six hundred fifty-six thousand, nine hundred sixty-four".