220900680 has 384 divisors, whose sum is σ = 965502720. Its totient is φ = 42301440.

The previous prime is 220900679. The next prime is 220900709. The reversal of 220900680 is 86009022.

It is a super-2 number, since 2×220900680² = 97594220848924800, which contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 360054 + ... + 360666.

It is an arithmetic number, because the mean of its divisors is an integer number (2514330).

Almost surely, 2^220900680 is an apocalyptic number.

220900680 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 220900680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482751360).

220900680 is an abundant number, since it is smaller than the sum of its proper divisors (744602040).

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

220900680 is a wasteful number, since it uses less digits than its factorization.

220900680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220900680 is about 14862.7278788249. The cubic root of 220900680 is about 604.5037754240.

The spelling of 220900680 in words is "two hundred twenty million, nine hundred thousand, six hundred eighty".