211865160 has 192 divisors, whose sum is σ = 712558080. Its totient is φ = 50319360.

The previous prime is 211865149. The next prime is 211865161. The reversal of 211865160 is 61568112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (211865161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628512 + ... + 628848.

It is an arithmetic number, because the mean of its divisors is an integer number (3711240).

Almost surely, 2^211865160 is an apocalyptic number.

211865160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211865160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356279040).

211865160 is an abundant number, since it is smaller than the sum of its proper divisors (500692920).

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

211865160 is a wasteful number, since it uses less digits than its factorization.

211865160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 211865160 is about 14555.5886174349. The cubic root of 211865160 is about 596.1467515450.

It can be divided in two parts, 2118651 and 60, that added together give a triangular number (2118711 = T₂₀₅₈).

The spelling of 211865160 in words is "two hundred eleven million, eight hundred sixty-five thousand, one hundred sixty".