220395168 has 144 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 62954496.

The previous prime is 220395163. The next prime is 220395169. The reversal of 220395168 is 861593022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220395163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52408 + ... + 56456.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^220395168 is an apocalyptic number.

220395168 is a gapful number since it is divisible by the number (28) 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 220395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

220395168 is an abundant number, since it is smaller than the sum of its proper divisors (522601632).

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

220395168 is an equidigital number, since it uses as much as digits as its factorization.

220395168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 220395168 is about 14845.7121082150. The cubic root of 220395168 is about 604.0423051227.

The spelling of 220395168 in words is "two hundred twenty million, three hundred ninety-five thousand, one hundred sixty-eight".