213733680 has 80 divisors (see below), whose sum is σ = 669477984. Its totient is φ = 56401920.

The previous prime is 213733661. The next prime is 213733703. The reversal of 213733680 is 86337312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18690 + ... + 27870.

Almost surely, 2^213733680 is an apocalyptic number.

213733680 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 213733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334738992).

213733680 is an abundant number, since it is smaller than the sum of its proper divisors (455744304).

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

213733680 is a wasteful number, since it uses less digits than its factorization.

213733680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 213733680 is about 14619.6333743360. The cubic root of 213733680 is about 597.8941733591.

The spelling of 213733680 in words is "two hundred thirteen million, seven hundred thirty-three thousand, six hundred eighty".