656980632 has 504 divisors, whose sum is σ = 2485809900. Its totient is φ = 161663040.

The previous prime is 656980603. The next prime is 656980637. The reversal of 656980632 is 236089656.

It is a happy number.

656980632 is a `hidden beast` number, since 6 + 5 + 6 + 9 + 8 + 0 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656980637) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 34577919 + ... + 34577937.

Almost surely, 2^656980632 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 656980632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242904950).

656980632 is an abundant number, since it is smaller than the sum of its proper divisors (1828829268).

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

656980632 is a wasteful number, since it uses less digits than its factorization.

656980632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 656980632 is about 25631.6334243450. The cubic root of 656980632 is about 869.3290427281.

The spelling of 656980632 in words is "six hundred fifty-six million, nine hundred eighty thousand, six hundred thirty-two".