656085120 has 256 divisors, whose sum is σ = 2220825600. Its totient is φ = 164409344.

The previous prime is 656085103. The next prime is 656085121. The reversal of 656085120 is 21580656.

It is not an unprimeable number, because it can be changed into a prime (656085121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3665191 + ... + 3665369.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2^656085120 is an apocalyptic number.

656085120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800).

656085120 is an abundant number, since it is smaller than the sum of its proper divisors (1564740480).

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

656085120 is a wasteful number, since it uses less digits than its factorization.

656085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 656085120 is about 25614.1585846578. The cubic root of 656085120 is about 868.9338770593.

The spelling of 656085120 in words is "six hundred fifty-six million, eighty-five thousand, one hundred twenty".