218868 has 48 divisors (see below), whose sum is σ = 583296. Its totient is φ = 63360.

The previous prime is 218857. The next prime is 218873. The reversal of 218868 is 868812.

It is an Ulam number.

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 218868.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3558 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2²¹⁸⁸⁶⁸ 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 218868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

218868 is an abundant number, since it is smaller than the sum of its proper divisors (364428).

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

218868 is a wasteful number, since it uses less digits than its factorization.

218868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 218868 is about 467.8333036456. The cubic root of 218868 is about 60.2643888202.

The spelling of 218868 in words is "two hundred eighteen thousand, eight hundred sixty-eight".