220108608 has 84 divisors (see below), whose sum is σ = 652706340. Its totient is φ = 70834176.

The previous prime is 220108607. The next prime is 220108621. The reversal of 220108608 is 806801022.

It can be written as a sum of positive squares in 2 ways, for example, as 128867904 + 91240704 = 11352^2 + 9552^2 .

It is a super-3 number, since 3×220108608³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220108607) 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 11 ways as a sum of consecutive naturals, for example, 10116 + ... + 23292.

Almost surely, 2^220108608 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 220108608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326353170).

220108608 is an abundant number, since it is smaller than the sum of its proper divisors (432597732).

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

220108608 is a wasteful number, since it uses less digits than its factorization.

220108608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 220108608 is about 14836.0576973804. The cubic root of 220108608 is about 603.7803976311.

The spelling of 220108608 in words is "two hundred twenty million, one hundred eight thousand, six hundred eight".