656704000 has 160 divisors (see below), whose sum is σ = 1695462912. Its totient is φ = 253440000.

The previous prime is 656703997. The next prime is 656704039. The reversal of 656704000 is 407656.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 656704000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983835 + ... + 1984165.

Almost surely, 2^656704000 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 656704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847731456).

656704000 is an abundant number, since it is smaller than the sum of its proper divisors (1038758912).

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

656704000 is an equidigital number, since it uses as much as digits as its factorization.

656704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 656704000 is about 25626.2365555303. The cubic root of 656704000 is about 869.2070107223.

The spelling of 656704000 in words is "six hundred fifty-six million, seven hundred four thousand".