220320560 has 40 divisors (see below), whose sum is σ = 515956560. Its totient is φ = 87489792.

The previous prime is 220320553. The next prime is 220320571. The reversal of 220320560 is 65023022.

It is a happy number.

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

It is a super-2 number, since 2×220320560² = 97082298317427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1214 + ... + 21026.

It is an arithmetic number, because the mean of its divisors is an integer number (12898914).

Almost surely, 2^220320560 is an apocalyptic number.

220320560 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 220320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257978280).

220320560 is an abundant number, since it is smaller than the sum of its proper divisors (295636000).

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

220320560 is a wasteful number, since it uses less digits than its factorization.

220320560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19965 (or 19959 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 220320560 is about 14843.1991160935. The cubic root of 220320560 is about 603.9741374538.

Adding to 220320560 its reverse (65023022), we get a palindrome (285343582).

The spelling of 220320560 in words is "two hundred twenty million, three hundred twenty thousand, five hundred sixty".