218268 has 48 divisors (see below), whose sum is σ = 591360. Its totient is φ = 69552.

The previous prime is 218249. The next prime is 218279. The reversal of 218268 is 862812.

218268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 218268.

It is an unprimeable number.

218268 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 15 ways as a sum of consecutive naturals, for example, 4621 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2²¹⁸²⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295680).

218268 is an abundant number, since it is smaller than the sum of its proper divisors (373092).

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

218268 is a wasteful number, since it uses less digits than its factorization.

218268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 218268 is about 467.1916095137. The cubic root of 218268 is about 60.2092692577.

The spelling of 218268 in words is "two hundred eighteen thousand, two hundred sixty-eight".