268218 has 16 divisors (see below), whose sum is σ = 596160. Its totient is φ = 89388.

The previous prime is 268211. The next prime is 268237. The reversal of 268218 is 812862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268191 and 268200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268218.

It is not an unprimeable number, because it can be changed into a prime (268211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2430 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2²⁶⁸²¹⁸ is an apocalyptic number.

268218 is an abundant number, since it is smaller than the sum of its proper divisors (327942).

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

268218 is a wasteful number, since it uses less digits than its factorization.

268218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4972 counting only the distinct ones).

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

The square root of 268218 is about 517.8976732908. The cubic root of 268218 is about 64.4905340354.

Subtracting 268218 from its reverse (812862), we obtain a square (544644 = 738²).

The spelling of 268218 in words is "two hundred sixty-eight thousand, two hundred eighteen".