656772 has 24 divisors (see below), whose sum is σ = 1545600. Its totient is φ = 217056.

The previous prime is 656771. The next prime is 656783. The reversal of 656772 is 277656.

656772 is nontrivially palindromic in base 15.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (656771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2629 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (64400).

2⁶⁵⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

656772 is an abundant number, since it is smaller than the sum of its proper divisors (888828).

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

656772 is a wasteful number, since it uses less digits than its factorization.

656772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 656772 is about 810.4147086523. The cubic root of 656772 is about 86.9237011066.

The spelling of 656772 in words is "six hundred fifty-six thousand, seven hundred seventy-two".