220055968 has 48 divisors (see below), whose sum is σ = 474102720. Its totient is φ = 99712000.

The previous prime is 220055959. The next prime is 220055987. The reversal of 220055968 is 869550022.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 140373 + ... + 141931.

It is an arithmetic number, because the mean of its divisors is an integer number (9877140).

Almost surely, 2^220055968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237051360).

220055968 is an abundant number, since it is smaller than the sum of its proper divisors (254046752).

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

220055968 is a wasteful number, since it uses less digits than its factorization.

220055968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 220055968 is about 14834.2835351088. The cubic root of 220055968 is about 603.7322614943.

The spelling of 220055968 in words is "two hundred twenty million, fifty-five thousand, nine hundred sixty-eight".