180068 has 24 divisors (see below), whose sum is σ = 369600. Its totient is φ = 75168.

The previous prime is 180053. The next prime is 180071. The reversal of 180068 is 860081.

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1598 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2¹⁸⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

180068 is an abundant number, since it is smaller than the sum of its proper divisors (189532).

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

180068 is a wasteful number, since it uses less digits than its factorization.

180068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

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

The square root of 180068 is about 424.3441999132. The cubic root of 180068 is about 56.4692708877.

The spelling of 180068 in words is "one hundred eighty thousand, sixty-eight".