218856 has 32 divisors (see below), whose sum is σ = 597600. Its totient is φ = 66240.

The previous prime is 218849. The next prime is 218857. The reversal of 218856 is 658812.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (218857) by changing a digit.

218856 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, 151 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (18675).

2²¹⁸⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

218856 is an abundant number, since it is smaller than the sum of its proper divisors (378744).

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

218856 is a wasteful number, since it uses less digits than its factorization.

218856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

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

The square root of 218856 is about 467.8204783889. The cubic root of 218856 is about 60.2632874168.

The spelling of 218856 in words is "two hundred eighteen thousand, eight hundred fifty-six".