180270 has 24 divisors (see below), whose sum is σ = 468936. Its totient is φ = 48048.

The previous prime is 180263. The next prime is 180281. The reversal of 180270 is 72081.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

180270 is a modest number, since divided by 270 gives 180 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

180270 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (19539).

2¹⁸⁰²⁷⁰ is an apocalyptic number.

180270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180270 is an abundant number, since it is smaller than the sum of its proper divisors (288666).

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

180270 is a wasteful number, since it uses less digits than its factorization.

180270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2013 counting only the distinct ones).

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

The square root of 180270 is about 424.5821475286. The cubic root of 180270 is about 56.4903787099.

The spelling of 180270 in words is "one hundred eighty thousand, two hundred seventy".