656256 has 32 divisors (see below), whose sum is σ = 1744200. Its totient is φ = 218624.

The previous prime is 656237. The next prime is 656263. The reversal of 656256 is 652656.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 656256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 471 + ... + 1238.

656256 is a Friedman number, since it can be written as 6+6*5^6*(5+2), using all its digits and the basic arithmetic operations.

2⁶⁵⁶²⁵⁶ is an apocalyptic number.

It is an amenable number.

656256 is an abundant number, since it is smaller than the sum of its proper divisors (1087944).

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

656256 is a wasteful number, since it uses less digits than its factorization.

656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1714 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 656256 is about 810.0962905729. The cubic root of 656256 is about 86.9009309615.

Subtracting from 656256 its reverse (652656), we obtain a square (3600 = 60²).

The spelling of 656256 in words is "six hundred fifty-six thousand, two hundred fifty-six".