220800 has 96 divisors (see below), whose sum is σ = 758880. Its totient is φ = 56320.

The previous prime is 220793. The next prime is 220807. The reversal of 220800 is 8022.

It is an interprime number because it is at equal distance from previous prime (220793) and next prime (220807).

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (220807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9589 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (7905).

2²²⁰⁸⁰⁰ is an apocalyptic number.

220800 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 220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440).

220800 is an abundant number, since it is smaller than the sum of its proper divisors (538080).

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

220800 is a wasteful number, since it uses less digits than its factorization.

220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

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

The square root of 220800 is about 469.8936049788. The cubic root of 220800 is about 60.4411923151.

Adding to 220800 its reverse (8022), we get a palindrome (228822).

It can be divided in two parts, 2 and 20800, that added together give a palindrome (20802).

The spelling of 220800 in words is "two hundred twenty thousand, eight hundred".