656284320 has 432 divisors, whose sum is σ = 2534444640. Its totient is φ = 154165248.

The previous prime is 656284283. The next prime is 656284331. The reversal of 656284320 is 23482656.

656284320 is a `hidden beast` number, since 6 + 5 + 628 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7906999 + ... + 7907081.

It is an arithmetic number, because the mean of its divisors is an integer number (5866770).

Almost surely, 2^656284320 is an apocalyptic number.

656284320 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 656284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267222320).

656284320 is an abundant number, since it is smaller than the sum of its proper divisors (1878160320).

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

656284320 is a wasteful number, since it uses less digits than its factorization.

656284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 656284320 is about 25618.0467639514. The cubic root of 656284320 is about 869.0218098127.

The spelling of 656284320 in words is "six hundred fifty-six million, two hundred eighty-four thousand, three hundred twenty".