168084 has 72 divisors (see below), whose sum is σ = 524160. Its totient is φ = 44352.

The previous prime is 168083. The next prime is 168089. The reversal of 168084 is 480861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5782 + ... + 5810.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁶⁸⁰⁸⁴ is an apocalyptic number.

168084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

168084 is an abundant number, since it is smaller than the sum of its proper divisors (356076).

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

168084 is a wasteful number, since it uses less digits than its factorization.

168084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168084 is about 409.9804873406. The cubic root of 168084 is about 55.1876784092.

It can be divided in two parts, 1680 and 84, that added together give a square (1764 = 42²).

The spelling of 168084 in words is "one hundred sixty-eight thousand, eighty-four".