656274960 has 480 divisors, whose sum is σ = 2596500480. Its totient is φ = 153964800.

The previous prime is 656274923. The next prime is 656274961. The reversal of 656274960 is 69472656.

656274960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656274961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21170145 + ... + 21170175.

It is an arithmetic number, because the mean of its divisors is an integer number (5409376).

Almost surely, 2^656274960 is an apocalyptic number.

656274960 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 656274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298250240).

656274960 is an abundant number, since it is smaller than the sum of its proper divisors (1940225520).

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

656274960 is a wasteful number, since it uses less digits than its factorization.

656274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 656274960 is about 25617.8640795832. The cubic root of 656274960 is about 869.0176784311.

It can be divided in two parts, 65 and 6274960, that added together give a square (6275025 = 2505²).

The spelling of 656274960 in words is "six hundred fifty-six million, two hundred seventy-four thousand, nine hundred sixty".