656800 has 36 divisors (see below), whose sum is σ = 1605366. Its totient is φ = 262400.

The previous prime is 656791. The next prime is 656809. The reversal of 656800 is 8656.

It is an interprime number because it is at equal distance from previous prime (656791) and next prime (656809).

It can be written as a sum of positive squares in 3 ways, for example, as 414736 + 242064 = 644^2 + 492^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (656809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390 + ... + 1210.

2⁶⁵⁶⁸⁰⁰ 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 656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802683).

656800 is an abundant number, since it is smaller than the sum of its proper divisors (948566).

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

656800 is a wasteful number, since it uses less digits than its factorization.

656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 656800 is about 810.4319835742. The cubic root of 656800 is about 86.9249363547.

It can be divided in two parts, 656 and 800, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 656800 in words is "six hundred fifty-six thousand, eight hundred".