180904 has 8 divisors (see below), whose sum is σ = 339210. Its totient is φ = 90448.

The previous prime is 180883. The next prime is 180907. The reversal of 180904 is 409081.

It can be written as a sum of positive squares in only one way, i.e., 158404 + 22500 = 398^2 + 150^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180904.

It is not an unprimeable number, because it can be changed into a prime (180907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11299 + ... + 11314.

2¹⁸⁰⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

180904 is a deficient number, since it is larger than the sum of its proper divisors (158306).

180904 is a wasteful number, since it uses less digits than its factorization.

180904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22619 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 180904 is about 425.3281086408. The cubic root of 180904 is about 56.5565257774.

Adding to 180904 its reverse (409081), we get a palindrome (589985).

The spelling of 180904 in words is "one hundred eighty thousand, nine hundred four".