211160320 has 72 divisors (see below), whose sum is σ = 578075904. Its totient is φ = 72394752.

The previous prime is 211160297. The next prime is 211160329. The reversal of 211160320 is 23061112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211160294 and 211160303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211160329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2824 + ... + 20743.

It is an arithmetic number, because the mean of its divisors is an integer number (8028832).

Almost surely, 2^211160320 is an apocalyptic number.

211160320 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 211160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289037952).

211160320 is an abundant number, since it is smaller than the sum of its proper divisors (366915584).

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

211160320 is an equidigital number, since it uses as much as digits as its factorization.

211160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23595 (or 23581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 211160320 is about 14531.3564404704. The cubic root of 211160320 is about 595.4849235146.

The spelling of 211160320 in words is "two hundred eleven million, one hundred sixty thousand, three hundred twenty".