656686656 has 112 divisors (see below), whose sum is σ = 1982906880. Its totient is φ = 212958720.

The previous prime is 656686651. The next prime is 656686661.

656686656 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (656686651) and next prime (656686661).

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 (656686651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58801 + ... + 69071.

Almost surely, 2^656686656 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 656686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991453440).

656686656 is an abundant number, since it is smaller than the sum of its proper divisors (1326220224).

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

656686656 is a wasteful number, since it uses less digits than its factorization.

656686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10313 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 656686656 is about 25625.8981501137. The cubic root of 656686656 is about 869.1993585385.

The spelling of 656686656 in words is "six hundred fifty-six million, six hundred eighty-six thousand, six hundred fifty-six".