180968 has 8 divisors (see below), whose sum is σ = 339330. Its totient is φ = 90480.

The previous prime is 180959. The next prime is 181001. The reversal of 180968 is 869081.

180968 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 77284 = 322^2 + 278^2 .

It is a tau number, because it is divible by the number of its divisors (8).

180968 is a nontrivial repdigit in base 12.

It is a plaindrome in base 12.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

180968 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 as a sum of consecutive naturals, namely, 11303 + ... + 11318.

2¹⁸⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

180968 is a deficient number, since it is larger than the sum of its proper divisors (158362).

180968 is a wasteful number, since it uses less digits than its factorization.

180968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22627 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 180968 is about 425.4033380217. The cubic root of 180968 is about 56.5631944910.

The spelling of 180968 in words is "one hundred eighty thousand, nine hundred sixty-eight".