330768 has 30 divisors (see below), whose sum is σ = 926094. Its totient is φ = 110208.

The previous prime is 330767. The next prime is 330787. The reversal of 330768 is 867033.

It is a happy number.

330768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 51984 = 528^2 + 228^2 .

It is not an unprimeable number, because it can be changed into a prime (330767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005 + ... + 1292.

2³³⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

330768 is an abundant number, since it is smaller than the sum of its proper divisors (595326).

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

330768 is a wasteful number, since it uses less digits than its factorization.

330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 330768 is about 575.1243343834. The cubic root of 330768 is about 69.1577988986.

It can be divided in two parts, 3307 and 68, that added together give a cube (3375 = 15³).

The spelling of 330768 in words is "three hundred thirty thousand, seven hundred sixty-eight".