213671680 has 36 divisors (see below), whose sum is σ = 511813512. Its totient is φ = 85468160.

The previous prime is 213671677. The next prime is 213671713. The reversal of 213671680 is 86176312.

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 3 ways as a sum of consecutive naturals, for example, 82186 + ... + 84745.

It is an arithmetic number, because the mean of its divisors is an integer number (14217042).

Almost surely, 2^213671680 is an apocalyptic number.

213671680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213671680 is an abundant number, since it is smaller than the sum of its proper divisors (298141832).

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

213671680 is an equidigital number, since it uses as much as digits as its factorization.

213671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166952 (or 166938 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 213671680 is about 14617.5127843283. The cubic root of 213671680 is about 597.8363552624.

The spelling of 213671680 in words is "two hundred thirteen million, six hundred seventy-one thousand, six hundred eighty".