213600960 has 84 divisors (see below), whose sum is σ = 734708208. Its totient is φ = 56959488.

The previous prime is 213600953. The next prime is 213600991. The reversal of 213600960 is 69006312.

It is a happy number.

It is a super-2 number, since 2×213600960² = 91250740225843200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 34204 + ... + 39963.

Almost surely, 2^213600960 is an apocalyptic number.

213600960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213600960 is an abundant number, since it is smaller than the sum of its proper divisors (521107248).

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

213600960 is a wasteful number, since it uses less digits than its factorization.

213600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74190 (or 74177 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 213600960 is about 14615.0935679523. The cubic root of 213600960 is about 597.7703916739.

The spelling of 213600960 in words is "two hundred thirteen million, six hundred thousand, nine hundred sixty".