220486560 has 192 divisors, whose sum is σ = 800077824. Its totient is φ = 49996800.

The previous prime is 220486547. The next prime is 220486571. The reversal of 220486560 is 65684022.

It is a super-2 number, since 2×220486560² = 97228646281267200, which contains 22 as substring.

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, 708805 + ... + 709115.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 2^220486560 is an apocalyptic number.

220486560 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 220486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400038912).

220486560 is an abundant number, since it is smaller than the sum of its proper divisors (579591264).

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

220486560 is a wasteful number, since it uses less digits than its factorization.

220486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 220486560 is about 14848.7898496814. The cubic root of 220486560 is about 604.1257869975.

The spelling of 220486560 in words is "two hundred twenty million, four hundred eighty-six thousand, five hundred sixty".