656816160 has 384 divisors, whose sum is σ = 2779951104. Its totient is φ = 125890560.

The previous prime is 656816159. The next prime is 656816179. The reversal of 656816160 is 61618656.

It is a super-4 number, since 4×656816160⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479797 + ... + 481163.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^656816160 is an apocalyptic number.

656816160 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 656816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552).

656816160 is an abundant number, since it is smaller than the sum of its proper divisors (2123134944).

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

656816160 is a wasteful number, since it uses less digits than its factorization.

656816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 656816160 is about 25628.4248443013. The cubic root of 656816160 is about 869.2564925328.

The spelling of 656816160 in words is "six hundred fifty-six million, eight hundred sixteen thousand, one hundred sixty".