168684 has 12 divisors (see below), whose sum is σ = 393624. Its totient is φ = 56224.

The previous prime is 168677. The next prime is 168697. The reversal of 168684 is 486861.

168684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 14.

It is an unprimeable number.

168684 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, 7017 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (32802).

2¹⁶⁸⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

168684 is an abundant number, since it is smaller than the sum of its proper divisors (224940).

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

168684 is a wasteful number, since it uses less digits than its factorization.

168684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064 (or 14062 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 168684 is about 410.7115776308. The cubic root of 168684 is about 55.2532672119.

It can be divided in two parts, 1686 and 84, that added together give a triangular number (1770 = T₅₉).

The spelling of 168684 in words is "one hundred sixty-eight thousand, six hundred eighty-four".