652800 has 120 divisors (see below), whose sum is σ = 2283336. Its totient is φ = 163840.

The previous prime is 652787. The next prime is 652811. The reversal of 652800 is 8256.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×652800² = 852295680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38392 + ... + 38408.

2⁶⁵²⁸⁰⁰ is an apocalyptic number.

652800 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 652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141668).

652800 is an abundant number, since it is smaller than the sum of its proper divisors (1630536).

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

652800 is a wasteful number, since it uses less digits than its factorization.

652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 652800 is about 807.9603950690. The cubic root of 652800 is about 86.7481154100.

The spelling of 652800 in words is "six hundred fifty-two thousand, eight hundred".