330240 has 80 divisors (see below), whose sum is σ = 1080288. Its totient is φ = 86016.

The previous prime is 330233. The next prime is 330241. The reversal of 330240 is 42033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (330241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7659 + ... + 7701.

2³³⁰²⁴⁰ is an apocalyptic number.

330240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540144).

330240 is an abundant number, since it is smaller than the sum of its proper divisors (750048).

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

330240 is an equidigital number, since it uses as much as digits as its factorization.

330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 330240 is about 574.6651198742. The cubic root of 330240 is about 69.1209807817.

Adding to 330240 its reverse (42033), we get a palindrome (372273).

The spelling of 330240 in words is "three hundred thirty thousand, two hundred forty".