656120920 has 256 divisors, whose sum is σ = 1959552000. Its totient is φ = 191932416.

The previous prime is 656120917. The next prime is 656120951. The reversal of 656120920 is 29021656.

656120920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3665391 + ... + 3665569.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2^656120920 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 656120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776000).

656120920 is an abundant number, since it is smaller than the sum of its proper divisors (1303431080).

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

656120920 is a wasteful number, since it uses less digits than its factorization.

656120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 656120920 is about 25614.8574073720. The cubic root of 656120920 is about 868.9496815466.

The spelling of 656120920 in words is "six hundred fifty-six million, one hundred twenty thousand, nine hundred twenty".