656828656 has 60 divisors (see below), whose sum is σ = 1447173000. Its totient is φ = 288238720.

The previous prime is 656828647. The next prime is 656828657.

It is a happy number.

656828656 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656828657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50295 + ... + 61993.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 2^656828656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656828656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723586500).

656828656 is an abundant number, since it is smaller than the sum of its proper divisors (790344344).

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

656828656 is a wasteful number, since it uses less digits than its factorization.

656828656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11741 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The square root of 656828656 is about 25628.6686349486. The cubic root of 656828656 is about 869.2620050648.

The spelling of 656828656 in words is "six hundred fifty-six million, eight hundred twenty-eight thousand, six hundred fifty-six".