330720 has 96 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 79872.

The previous prime is 330719. The next prime is 330721. The reversal of 330720 is 27033.

It is an interprime number because it is at equal distance from previous prime (330719) and next prime (330721).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 330720.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330720.

It is not an unprimeable number, because it can be changed into a prime (330721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6214 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (11907).

2³³⁰⁷²⁰ is an apocalyptic number.

330720 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 330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

330720 is an abundant number, since it is smaller than the sum of its proper divisors (812352).

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

330720 is a wasteful number, since it uses less digits than its factorization.

330720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 330720 is about 575.0826027624. The cubic root of 330720 is about 69.1544534168.

Adding to 330720 its reverse (27033), we get a palindrome (357753).

The spelling of 330720 in words is "three hundred thirty thousand, seven hundred twenty".