652132800 has 504 divisors, whose sum is σ = 2653223040. Its totient is φ = 150374400.

The previous prime is 652132787. The next prime is 652132837. The reversal of 652132800 is 8231256.

652132800 is a `hidden beast` number, since 652 + 1 + 3 + 2 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3643111 + ... + 3643289.

Almost surely, 2^652132800 is an apocalyptic number.

652132800 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 652132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326611520).

652132800 is an abundant number, since it is smaller than the sum of its proper divisors (2001090240).

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

652132800 is a wasteful number, since it uses less digits than its factorization.

652132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 652132800 is about 25536.8909619006. The cubic root of 652132800 is about 867.1855144342.

The spelling of 652132800 in words is "six hundred fifty-two million, one hundred thirty-two thousand, eight hundred".