220980 has 48 divisors (see below), whose sum is σ = 645120. Its totient is φ = 56448.

The previous prime is 220973. The next prime is 221021. The reversal of 220980 is 89022.

It is a congruent number.

It is an unprimeable number.

220980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1677 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2²²⁰⁹⁸⁰ is an apocalyptic number.

220980 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 220980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

220980 is an abundant number, since it is smaller than the sum of its proper divisors (424140).

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

220980 is a wasteful number, since it uses less digits than its factorization.

220980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 220980 is about 470.0850986790. The cubic root of 220980 is about 60.4576120910.

The spelling of 220980 in words is "two hundred twenty thousand, nine hundred eighty".