656900000 has 72 divisors (see below), whose sum is σ = 1616732460. Its totient is φ = 262720000.

The previous prime is 656899993. The next prime is 656900039. The reversal of 656900000 is 9656.

It can be written as a sum of positive squares in 6 ways, for example, as 9909904 + 646990096 = 3148^2 + 25436^2 .

It is a super-2 number, since 2×656900000² = 863035220000000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96716 + ... + 103284.

Almost surely, 2^656900000 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 656900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808366230).

656900000 is an abundant number, since it is smaller than the sum of its proper divisors (959832460).

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

656900000 is an frugal number, since it uses more digits than its factorization.

656900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 656900000 is about 25630.0604759333. The cubic root of 656900000 is about 869.2934766836.

Adding to 656900000 its reverse (9656), we get a palindrome (656909656).

The spelling of 656900000 in words is "six hundred fifty-six million, nine hundred thousand".