218080 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 82432.

The previous prime is 218077. The next prime is 218081. The reversal of 218080 is 80812.

It is a happy number.

218080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218081) 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, 4617 + ... + 4663.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²¹⁸⁰⁸⁰ is an apocalyptic number.

218080 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 218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

218080 is an abundant number, since it is smaller than the sum of its proper divisors (326240).

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

218080 is a wasteful number, since it uses less digits than its factorization.

218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 218080 is about 466.9903639263. The cubic root of 218080 is about 60.1919776803.

Adding to 218080 its reverse (80812), we get a palindrome (298892).

The spelling of 218080 in words is "two hundred eighteen thousand, eighty".