180390 has 32 divisors (see below), whose sum is σ = 495360. Its totient is φ = 41184.

The previous prime is 180379. The next prime is 180391. The reversal of 180390 is 93081.

180390 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180391) by changing a digit.

180390 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 15 ways as a sum of consecutive naturals, for example, 220 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (15480).

2¹⁸⁰³⁹⁰ is an apocalyptic number.

180390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180390 is an abundant number, since it is smaller than the sum of its proper divisors (314970).

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

180390 is a wasteful number, since it uses less digits than its factorization.

180390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 180390 is about 424.7234394285. The cubic root of 180390 is about 56.5029105452.

The spelling of 180390 in words is "one hundred eighty thousand, three hundred ninety".