185868 has 24 divisors (see below), whose sum is σ = 482160. Its totient is φ = 61920.

The previous prime is 185849. The next prime is 185869. The reversal of 185868 is 868581.

185868 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (185869) 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, 753 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (20090).

2¹⁸⁵⁸⁶⁸ is an apocalyptic number.

185868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

185868 is an abundant number, since it is smaller than the sum of its proper divisors (296292).

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

185868 is a wasteful number, since it uses less digits than its factorization.

185868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 185868 is about 431.1241120606. The cubic root of 185868 is about 57.0691681098.

It can be divided in two parts, 18 and 5868, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 185868 in words is "one hundred eighty-five thousand, eight hundred sixty-eight".