656000 has 64 divisors (see below), whose sum is σ = 1670760. Its totient is φ = 256000.

The previous prime is 655987. The next prime is 656023. The reversal of 656000 is 656.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 602176 = 232^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 656000.

It is a congruent number.

It is an unprimeable number.

656000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15980 + ... + 16020.

2⁶⁵⁶⁰⁰⁰ 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 656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835380).

656000 is an abundant number, since it is smaller than the sum of its proper divisors (1014760).

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

656000 is an equidigital number, since it uses as much as digits as its factorization.

656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 656000 is about 809.9382692527. The cubic root of 656000 is about 86.8896297154.

Adding to 656000 its reverse (656), we get a palindrome (656656).

656000 divided by its reverse (656) gives a cube (1000 = 10³).

The spelling of 656000 in words is "six hundred fifty-six thousand".