213186960 has 120 divisors (see below), whose sum is σ = 818251200. Its totient is φ = 48727296.

The previous prime is 213186959. The next prime is 213186983. The reversal of 213186960 is 69681312.

213186960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16110 + ... + 26189.

It is an arithmetic number, because the mean of its divisors is an integer number (6818760).

Almost surely, 2^213186960 is an apocalyptic number.

213186960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213186960 is an abundant number, since it is smaller than the sum of its proper divisors (605064240).

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

213186960 is a wasteful number, since it uses less digits than its factorization.

213186960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42325 (or 42316 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 213186960 is about 14600.9232584792. The cubic root of 213186960 is about 597.3839436595.

The spelling of 213186960 in words is "two hundred thirteen million, one hundred eighty-six thousand, nine hundred sixty".