168080 has 40 divisors (see below), whose sum is σ = 428544. Its totient is φ = 60800.

The previous prime is 168071. The next prime is 168083. The reversal of 168080 is 80861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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

168080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785 + ... + 975.

2¹⁶⁸⁰⁸⁰ is an apocalyptic number.

168080 is a gapful number since it is divisible by the number (10) 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 168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272).

168080 is an abundant number, since it is smaller than the sum of its proper divisors (260464).

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

168080 is a wasteful number, since it uses less digits than its factorization.

168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 168080 is about 409.9756090306. The cubic root of 168080 is about 55.1872406272.

The spelling of 168080 in words is "one hundred sixty-eight thousand, eighty".