211986160 has 40 divisors (see below), whose sum is σ = 499633200. Its totient is φ = 83630592.

The previous prime is 211986157. The next prime is 211986179. The reversal of 211986160 is 61689112.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 12310 + ... + 23989.

It is an arithmetic number, because the mean of its divisors is an integer number (12490830).

Almost surely, 2^211986160 is an apocalyptic number.

211986160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211986160 is an abundant number, since it is smaller than the sum of its proper divisors (287647040).

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

211986160 is a wasteful number, since it uses less digits than its factorization.

211986160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36385 (or 36379 counting only the distinct ones).

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

The square root of 211986160 is about 14559.7445032528. The cubic root of 211986160 is about 596.2602199872.

The spelling of 211986160 in words is "two hundred eleven million, nine hundred eighty-six thousand, one hundred sixty".