218568 has 32 divisors (see below), whose sum is σ = 624960. Its totient is φ = 62400.

The previous prime is 218551. The next prime is 218579. The reversal of 218568 is 865812.

218568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

218568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2²¹⁸⁵⁶⁸ is an apocalyptic number.

218568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218568 is an abundant number, since it is smaller than the sum of its proper divisors (406392).

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

218568 is a wasteful number, since it uses less digits than its factorization.

218568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 218568 is about 467.5125666760. The cubic root of 218568 is about 60.2368416482.

The spelling of 218568 in words is "two hundred eighteen thousand, five hundred sixty-eight".