656788 has 36 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 280720.

The previous prime is 656783. The next prime is 656791. The reversal of 656788 is 887656.

It is a self number, because there is not a number n which added to its sum of digits gives 656788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656783) by changing a digit.

656788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11103 + ... + 11161.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2⁶⁵⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

656788 is an abundant number, since it is smaller than the sum of its proper divisors (683852).

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

656788 is a wasteful number, since it uses less digits than its factorization.

656788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 656788 is about 810.4245800813. The cubic root of 656788 is about 86.9244069669.

It can be divided in two parts, 656 and 788, that added together give a square (1444 = 38²).

The spelling of 656788 in words is "six hundred fifty-six thousand, seven hundred eighty-eight".