220305680 has 40 divisors (see below), whose sum is σ = 585385152. Its totient is φ = 75533184.

The previous prime is 220305667. The next prime is 220305731. The reversal of 220305680 is 86503022.

220305680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196142 + ... + 197261.

Almost surely, 2^220305680 is an apocalyptic number.

220305680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220305680 is an abundant number, since it is smaller than the sum of its proper divisors (365079472).

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

220305680 is a wasteful number, since it uses less digits than its factorization.

220305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393423 (or 393417 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 220305680 is about 14842.6978679753. The cubic root of 220305680 is about 603.9605400884.

The spelling of 220305680 in words is "two hundred twenty million, three hundred five thousand, six hundred eighty".