84168 has 48 divisors (see below), whose sum is σ = 262080. Its totient is φ = 23904.

The previous prime is 84163. The next prime is 84179. The reversal of 84168 is 86148.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84163) by changing a digit.

84168 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 11 ways as a sum of consecutive naturals, for example, 421 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁸⁴¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

84168 is an abundant number, since it is smaller than the sum of its proper divisors (177912).

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

84168 is a wasteful number, since it uses less digits than its factorization.

84168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

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

The square root of 84168 is about 290.1172176897. The cubic root of 84168 is about 43.8243687502.

It can be divided in two parts, 841 and 68, that added together give a palindrome (909).

The spelling of 84168 in words is "eighty-four thousand, one hundred sixty-eight".