220960320 has 224 divisors, whose sum is σ = 811109376. Its totient is φ = 49920000.

The previous prime is 220960319. The next prime is 220960349. The reversal of 220960320 is 23069022.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880195 + ... + 880445.

It is an arithmetic number, because the mean of its divisors is an integer number (3621024).

Almost surely, 2^220960320 is an apocalyptic number.

220960320 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 220960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405554688).

220960320 is an abundant number, since it is smaller than the sum of its proper divisors (590149056).

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

220960320 is a wasteful number, since it uses less digits than its factorization.

220960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 220960320 is about 14864.7341045846. The cubic root of 220960320 is about 604.5581729646.

The spelling of 220960320 in words is "two hundred twenty million, nine hundred sixty thousand, three hundred twenty".