18568 has 16 divisors (see below), whose sum is σ = 38160. Its totient is φ = 8400.

The previous prime is 18553. The next prime is 18583. The reversal of 18568 is 86581.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18553) and next prime (18583).

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 8.

It is an unprimeable number.

18568 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 3 ways as a sum of consecutive naturals, for example, 18 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (2385).

2¹⁸⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

18568 is an abundant number, since it is smaller than the sum of its proper divisors (19592).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080).

18568 is a wasteful number, since it uses less digits than its factorization.

18568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 18568 is about 136.2644487752. The cubic root of 18568 is about 26.4802273296.

It can be divided in two parts, 185 and 68, that added together give a triangular number (253 = T₂₂).

The spelling of 18568 in words is "eighteen thousand, five hundred sixty-eight".