213628800 has 576 divisors, whose sum is σ = 931904640. Its totient is φ = 41779200.

The previous prime is 213628769. The next prime is 213628813. The reversal of 213628800 is 8826312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12566392 + ... + 12566408.

It is an arithmetic number, because the mean of its divisors is an integer number (1617890).

Almost surely, 2^213628800 is an apocalyptic number.

213628800 is a gapful number since it is divisible by the number (20) 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 213628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465952320).

213628800 is an abundant number, since it is smaller than the sum of its proper divisors (718275840).

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

213628800 is a wasteful number, since it uses less digits than its factorization.

213628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 213628800 is about 14616.0459769392. The cubic root of 213628800 is about 597.7963609778.

The spelling of 213628800 in words is "two hundred thirteen million, six hundred twenty-eight thousand, eight hundred".