180330 has 16 divisors (see below), whose sum is σ = 432864. Its totient is φ = 48080.

The previous prime is 180317. The next prime is 180331. The reversal of 180330 is 33081.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (180331) by changing a digit.

180330 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 7 ways as a sum of consecutive naturals, for example, 2976 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (27054).

2¹⁸⁰³³⁰ is an apocalyptic number.

180330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180330 is an abundant number, since it is smaller than the sum of its proper divisors (252534).

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

180330 is a wasteful number, since it uses less digits than its factorization.

180330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 180330 is about 424.6527993550. The cubic root of 180330 is about 56.4966453225.

The spelling of 180330 in words is "one hundred eighty thousand, three hundred thirty".