180368 has 10 divisors (see below), whose sum is σ = 349494. Its totient is φ = 90176.

The previous prime is 180361. The next prime is 180371. The reversal of 180368 is 863081.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 44944 = 368^2 + 212^2 .

It is not an unprimeable number, because it can be changed into a prime (180361) by changing a digit.

180368 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 as a sum of consecutive naturals, namely, 5621 + ... + 5652.

2¹⁸⁰³⁶⁸ is an apocalyptic number.

It is an amenable number.

180368 is a deficient number, since it is larger than the sum of its proper divisors (169126).

180368 is a wasteful number, since it uses less digits than its factorization.

180368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 180368 is about 424.6975394325. The cubic root of 180368 is about 56.5006134582.

The spelling of 180368 in words is "one hundred eighty thousand, three hundred sixty-eight".