656000656 has 40 divisors (see below), whose sum is σ = 1315025208. Its totient is φ = 316800000.

The previous prime is 656000633. The next prime is 656000659.

656000656 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 386515600 = 16416^2 + 19660^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (656000659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61306 + ... + 71206.

Almost surely, 2^656000656 is an apocalyptic number.

It is an amenable number.

656000656 is an abundant number, since it is smaller than the sum of its proper divisors (659024552).

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

656000656 is a wasteful number, since it uses less digits than its factorization.

656000656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 656000656 is about 25612.5097559767. The cubic root of 656000656 is about 868.8965867857.

It can be divided in two parts, 656000 and 656, that added together give a palindrome (656656).

The spelling of 656000656 in words is "six hundred fifty-six million, six hundred fifty-six", and thus it is an aban number.