213980800 has 96 divisors (see below), whose sum is σ = 576748800. Its totient is φ = 77798400.

The previous prime is 213980791. The next prime is 213980803. The reversal of 213980800 is 8089312.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213980803) 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, 32161 + ... + 38239.

It is an arithmetic number, because the mean of its divisors is an integer number (6007800).

Almost surely, 2^213980800 is an apocalyptic number.

213980800 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 213980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288374400).

213980800 is an abundant number, since it is smaller than the sum of its proper divisors (362768000).

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

213980800 is a wasteful number, since it uses less digits than its factorization.

213980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 213980800 is about 14628.0825811177. The cubic root of 213980800 is about 598.1245140662.

The spelling of 213980800 in words is "two hundred thirteen million, nine hundred eighty thousand, eight hundred".