218880 has 108 divisors (see below), whose sum is σ = 797160. Its totient is φ = 55296.

The previous prime is 218873. The next prime is 218887. The reversal of 218880 is 88812.

It is an interprime number because it is at equal distance from previous prime (218873) and next prime (218887).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218880.

It is not an unprimeable number, because it can be changed into a prime (218887) by changing a digit.

218880 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11511 + ... + 11529.

2²¹⁸⁸⁸⁰ is an apocalyptic number.

218880 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 218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398580).

218880 is an abundant number, since it is smaller than the sum of its proper divisors (578280).

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

218880 is a wasteful number, since it uses less digits than its factorization.

218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 218880 is about 467.8461285508. The cubic root of 218880 is about 60.2654901833.

The spelling of 218880 in words is "two hundred eighteen thousand, eight hundred eighty".