656880 has 160 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 135168.

The previous prime is 656839. The next prime is 656891. The reversal of 656880 is 88656.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

656880 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 31 ways as a sum of consecutive naturals, for example, 28549 + ... + 28571.

2⁶⁵⁶⁸⁸⁰ is an apocalyptic number.

656880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

656880 is an abundant number, since it is smaller than the sum of its proper divisors (1914384).

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

656880 is a wasteful number, since it uses less digits than its factorization.

656880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 656880 is about 810.4813384650. The cubic root of 656880 is about 86.9284654414.

The spelling of 656880 in words is "six hundred fifty-six thousand, eight hundred eighty".