213382880 has 48 divisors (see below), whose sum is σ = 512404704. Its totient is φ = 83950080.

The previous prime is 213382877. The next prime is 213382919. The reversal of 213382880 is 88283312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213382880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172 + ... + 20691.

It is an arithmetic number, because the mean of its divisors is an integer number (10675098).

Almost surely, 2^213382880 is an apocalyptic number.

213382880 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 213382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256202352).

213382880 is an abundant number, since it is smaller than the sum of its proper divisors (299021824).

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

213382880 is a wasteful number, since it uses less digits than its factorization.

213382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21939 (or 21931 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 213382880 is about 14607.6308825216. The cubic root of 213382880 is about 597.5668873493.

The spelling of 213382880 in words is "two hundred thirteen million, three hundred eighty-two thousand, eight hundred eighty".