330564 has 36 divisors (see below), whose sum is σ = 840336. Its totient is φ = 101088.

The previous prime is 330563. The next prime is 330569. The reversal of 330564 is 465033.

It is a super-3 number, since 3×330564³ = 108364721683338432, which contains 333 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 330564.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330564.

It is not an unprimeable number, because it can be changed into a prime (330563) 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 in 11 ways as a sum of consecutive naturals, for example, 1947 + ... + 2109.

2³³⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420168).

330564 is an abundant number, since it is smaller than the sum of its proper divisors (509772).

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

330564 is a wasteful number, since it uses less digits than its factorization.

330564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 330564 is about 574.9469540749. The cubic root of 330564 is about 69.1435783650.

Adding to 330564 its reverse (465033), we get a palindrome (795597).

The spelling of 330564 in words is "three hundred thirty thousand, five hundred sixty-four".