656061120 has 672 divisors, whose sum is σ = 2795869440. Its totient is φ = 144322560.

The previous prime is 656061103. The next prime is 656061151. The reversal of 656061120 is 21160656.

It is a happy number.

656061120 is a `hidden beast` number, since 656 + 0 + 6 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11119651 + ... + 11119709.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^656061120 is an apocalyptic number.

656061120 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 656061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397934720).

656061120 is an abundant number, since it is smaller than the sum of its proper divisors (2139808320).

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

656061120 is a wasteful number, since it uses less digits than its factorization.

656061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 656061120 is about 25613.6900894814. The cubic root of 656061120 is about 868.9232815503.

The spelling of 656061120 in words is "six hundred fifty-six million, sixty-one thousand, one hundred twenty".