220080 has 80 divisors (see below), whose sum is σ = 785664. Its totient is φ = 49920.

The previous prime is 220063. The next prime is 220123. The reversal of 220080 is 80022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is an unprimeable number.

220080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615 + ... + 1745.

2²²⁰⁰⁸⁰ is an apocalyptic number.

220080 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 220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832).

220080 is an abundant number, since it is smaller than the sum of its proper divisors (565584).

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

220080 is a wasteful number, since it uses less digits than its factorization.

220080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220080 is about 469.1268485175. The cubic root of 220080 is about 60.3754238276.

The spelling of 220080 in words is "two hundred twenty thousand, eighty".