656400 has 60 divisors (see below), whose sum is σ = 2106512. Its totient is φ = 174720.

The previous prime is 656389. The next prime is 656407. The reversal of 656400 is 4656.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (656407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 927 + ... + 1473.

2⁶⁵⁶⁴⁰⁰ is an apocalyptic number.

656400 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 656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053256).

656400 is an abundant number, since it is smaller than the sum of its proper divisors (1450112).

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

656400 is a wasteful number, since it uses less digits than its factorization.

656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 656400 is about 810.1851640212. The cubic root of 656400 is about 86.9072866209.

The spelling of 656400 in words is "six hundred fifty-six thousand, four hundred".