220880 has 40 divisors (see below), whose sum is σ = 562464. Its totient is φ = 80000.

The previous prime is 220879. The next prime is 220889. The reversal of 220880 is 88022.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755 + ... + 1005.

2²²⁰⁸⁸⁰ is an apocalyptic number.

220880 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 220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

220880 is an abundant number, since it is smaller than the sum of its proper divisors (341584).

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

220880 is a wasteful number, since it uses less digits than its factorization.

220880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 220880 is about 469.9787229226. The cubic root of 220880 is about 60.4484910946.

Adding to 220880 its sum of digits (20), we get a square (220900 = 470²).

It can be divided in two parts, 220 and 880, that multiplied together give a square (193600 = 440²).

The spelling of 220880 in words is "two hundred twenty thousand, eight hundred eighty".