180168 has 16 divisors (see below), whose sum is σ = 450480. Its totient is φ = 60048.

The previous prime is 180161. The next prime is 180179. The reversal of 180168 is 861081.

180168 = T₁₄₂ + T₁₄₃ + ... + T₁₅₇.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 7507 = 180168 / (1 + 8 + 0 + 1 + 6 + 8).

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (180161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3730 + ... + 3777.

It is an arithmetic number, because the mean of its divisors is an integer number (28155).

2¹⁸⁰¹⁶⁸ is an apocalyptic number.

It is an amenable number.

180168 is an abundant number, since it is smaller than the sum of its proper divisors (270312).

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

180168 is a wasteful number, since it uses less digits than its factorization.

180168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 180168 is about 424.4620124346. The cubic root of 180168 is about 56.4797222766.

The spelling of 180168 in words is "one hundred eighty thousand, one hundred sixty-eight".