220564320 has 48 divisors (see below), whose sum is σ = 694779120. Its totient is φ = 58817024.

The previous prime is 220564291. The next prime is 220564367. The reversal of 220564320 is 23465022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 229275 + ... + 230234.

It is an arithmetic number, because the mean of its divisors is an integer number (14474565).

Almost surely, 2^220564320 is an apocalyptic number.

220564320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220564320 is an abundant number, since it is smaller than the sum of its proper divisors (474214800).

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

220564320 is a wasteful number, since it uses less digits than its factorization.

220564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459527 (or 459519 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 220564320 is about 14851.4080140571. The cubic root of 220564320 is about 604.1967985817.

The spelling of 220564320 in words is "two hundred twenty million, five hundred sixty-four thousand, three hundred twenty".