656680960 has 96 divisors (see below), whose sum is σ = 1697197320. Its totient is φ = 242417664.

The previous prime is 656680931. The next prime is 656680987. The reversal of 656680960 is 69086656.

It can be written as a sum of positive squares in 4 ways, for example, as 348046336 + 308634624 = 18656^2 + 17568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 656680960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130654 + ... + 135586.

Almost surely, 2^656680960 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 656680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848598660).

656680960 is an abundant number, since it is smaller than the sum of its proper divisors (1040516360).

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

656680960 is a wasteful number, since it uses less digits than its factorization.

656680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 656680960 is about 25625.7870123046. The cubic root of 656680960 is about 869.1968454303.

The spelling of 656680960 in words is "six hundred fifty-six million, six hundred eighty thousand, nine hundred sixty".