218165120 has 64 divisors (see below), whose sum is σ = 544263840. Its totient is φ = 83466240.

The previous prime is 218165111. The next prime is 218165153. The reversal of 218165120 is 21561812.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×218165120² = 95192039169228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218165120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7310 + ... + 22130.

Almost surely, 2^218165120 is an apocalyptic number.

218165120 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 218165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272131920).

218165120 is an abundant number, since it is smaller than the sum of its proper divisors (326098720).

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

218165120 is a wasteful number, since it uses less digits than its factorization.

218165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14863 (or 14851 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 218165120 is about 14770.4136705781. The cubic root of 218165120 is about 601.9980794853.

The spelling of 218165120 in words is "two hundred eighteen million, one hundred sixty-five thousand, one hundred twenty".