220657920 has 144 divisors (see below), whose sum is σ = 805499520. Its totient is φ = 50429952.

The previous prime is 220657901. The next prime is 220657933. The reversal of 220657920 is 29756022.

It is a happy number.

220657920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22776 + ... + 30984.

Almost surely, 2^220657920 is an apocalyptic number.

220657920 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 220657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402749760).

220657920 is an abundant number, since it is smaller than the sum of its proper divisors (584841600).

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

220657920 is an equidigital number, since it uses as much as digits as its factorization.

220657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8240 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 220657920 is about 14854.5588961773. The cubic root of 220657920 is about 604.2822533560.

The spelling of 220657920 in words is "two hundred twenty million, six hundred fifty-seven thousand, nine hundred twenty".