220108680 has 288 divisors, whose sum is σ = 816641280. Its totient is φ = 51321600.

The previous prime is 220108657. The next prime is 220108703. The reversal of 220108680 is 86801022.

220108680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220108657) and next prime (220108703).

It is a super-2 number, since 2×220108680² = 96895662022684800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1350279 + ... + 1350441.

It is an arithmetic number, because the mean of its divisors is an integer number (2835560).

Almost surely, 2^220108680 is an apocalyptic number.

220108680 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 220108680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408320640).

220108680 is an abundant number, since it is smaller than the sum of its proper divisors (596532600).

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

220108680 is a wasteful number, since it uses less digits than its factorization.

220108680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

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

The square root of 220108680 is about 14836.0601239008. The cubic root of 220108680 is about 603.7804634655.

It can be divided in two parts, 220 and 108680, that added together give a square (108900 = 330²).

The spelling of 220108680 in words is "two hundred twenty million, one hundred eight thousand, six hundred eighty".