218800 has 30 divisors (see below), whose sum is σ = 526628. Its totient is φ = 87360.

The previous prime is 218797. The next prime is 218809. The reversal of 218800 is 8812.

It is a happy number.

218800 is nontrivially palindromic in base 3.

218800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127 + ... + 673.

2²¹⁸⁸⁰⁰ is an apocalyptic number.

218800 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 218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263314).

218800 is an abundant number, since it is smaller than the sum of its proper divisors (307828).

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

218800 is a wasteful number, since it uses less digits than its factorization.

218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

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

The square root of 218800 is about 467.7606225411. The cubic root of 218800 is about 60.2581470018.

The spelling of 218800 in words is "two hundred eighteen thousand, eight hundred".