185768 has 16 divisors (see below), whose sum is σ = 380160. Its totient is φ = 84400.

The previous prime is 185767. The next prime is 185789. The reversal of 185768 is 867581.

It is a happy number.

185768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (185767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 968 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2¹⁸⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

185768 is an abundant number, since it is smaller than the sum of its proper divisors (194392).

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

185768 is a wasteful number, since it uses less digits than its factorization.

185768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 185768 is about 431.0081205732. The cubic root of 185768 is about 57.0589315609.

The spelling of 185768 in words is "one hundred eighty-five thousand, seven hundred sixty-eight".