220882560 has 128 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 56856576.

The previous prime is 220882559. The next prime is 220882583. The reversal of 220882560 is 65288022.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53697 + ... + 57663.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^220882560 is an apocalyptic number.

220882560 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 220882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

220882560 is an abundant number, since it is smaller than the sum of its proper divisors (507642240).

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

220882560 is a wasteful number, since it uses less digits than its factorization.

220882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 220882560 is about 14862.1182877812. The cubic root of 220882560 is about 604.4872462642.

The spelling of 220882560 in words is "two hundred twenty million, eight hundred eighty-two thousand, five hundred sixty".