218580 has 24 divisors (see below), whose sum is σ = 612192. Its totient is φ = 58272.

The previous prime is 218579. The next prime is 218591. The reversal of 218580 is 85812.

218580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 218580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762 + ... + 1881.

It is an arithmetic number, because the mean of its divisors is an integer number (25508).

2²¹⁸⁵⁸⁰ is an apocalyptic number.

218580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218580 is an abundant number, since it is smaller than the sum of its proper divisors (393612).

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

218580 is a wasteful number, since it uses less digits than its factorization.

218580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 218580 is about 467.5254003795. The cubic root of 218580 is about 60.2379440189.

The spelling of 218580 in words is "two hundred eighteen thousand, five hundred eighty".