211968160 has 36 divisors (see below), whose sum is σ = 501210234. Its totient is φ = 84713600.

The previous prime is 211968151. The next prime is 211968193. The reversal of 211968160 is 61869112.

It can be written as a sum of positive squares in only one way, i.e., 190771344 + 21196816 = 13812^2 + 4604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183585 + ... + 184735.

Almost surely, 2^211968160 is an apocalyptic number.

211968160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211968160 is an abundant number, since it is smaller than the sum of its proper divisors (289242074).

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

211968160 is an frugal number, since it uses more digits than its factorization.

211968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 211968160 is about 14559.1263474152. The cubic root of 211968160 is about 596.2433431186.

The spelling of 211968160 in words is "two hundred eleven million, nine hundred sixty-eight thousand, one hundred sixty".