213568080 has 80 divisors (see below), whose sum is σ = 722257344. Its totient is φ = 51773440.

The previous prime is 213568073. The next prime is 213568097. The reversal of 213568080 is 80865312.

It is a happy number.

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

It is a super-2 number, since 2×213568080² = 91222649589772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 37809 + ... + 43088.

Almost surely, 2^213568080 is an apocalyptic number.

213568080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213568080 is an abundant number, since it is smaller than the sum of its proper divisors (508689264).

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

213568080 is a wasteful number, since it uses less digits than its factorization.

213568080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80924 (or 80918 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 213568080 is about 14613.9686601553. The cubic root of 213568080 is about 597.7397181241.

The spelling of 213568080 in words is "two hundred thirteen million, five hundred sixty-eight thousand, eighty".