656728065 has 96 divisors (see below), whose sum is σ = 1378840320. Its totient is φ = 282465792.

The previous prime is 656728043. The next prime is 656728067. The reversal of 656728065 is 560827656.

656728065 is a `hidden beast` number, since 6 + 567 + 2 + 80 + 6 + 5 = 666.

It is not a de Polignac number, because 656728065 - 2⁷ = 656727937 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 656728065.

It is not an unprimeable number, because it can be changed into a prime (656728067) 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, 1178767 + ... + 1179323.

It is an arithmetic number, because the mean of its divisors is an integer number (14362920).

Almost surely, 2^656728065 is an apocalyptic number.

It is an amenable number.

656728065 is an abundant number, since it is smaller than the sum of its proper divisors (722112255).

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

656728065 is a wasteful number, since it uses less digits than its factorization.

656728065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 656728065 is about 25626.7060895465. The cubic root of 656728065 is about 869.2176279924.

It can be divided in two parts, 65672 and 8065, that added together give a palindrome (73737).

The spelling of 656728065 in words is "six hundred fifty-six million, seven hundred twenty-eight thousand, sixty-five".