180027 has 12 divisors (see below), whose sum is σ = 264264. Its totient is φ = 118080.

The previous prime is 180023. The next prime is 180043. The reversal of 180027 is 720081.

It is not a de Polignac number, because 180027 - 2² = 180023 is a prime.

180027 is a modest number, since divided by 27 gives 18 as remainder.

180027 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 179991 and 180009.

It is not an unprimeable number, because it can be changed into a prime (180023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (22022).

2¹⁸⁰⁰²⁷ is an apocalyptic number.

180027 is a deficient number, since it is larger than the sum of its proper divisors (84237).

180027 is a wasteful number, since it uses less digits than its factorization.

180027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 180027 is about 424.2958873239. The cubic root of 180027 is about 56.4649846998.

The spelling of 180027 in words is "one hundred eighty thousand, twenty-seven".