330960 has 80 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 75264.

The previous prime is 330943. The next prime is 330983. The reversal of 330960 is 69033.

330960 = T₃₀₄ + T₃₀₅ + ... + T₃₁₀.

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 (21).

It is a nialpdrome in base 14.

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 330960.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 1582 + ... + 1778.

2³³⁰⁹⁶⁰ is an apocalyptic number.

330960 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 330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

330960 is an abundant number, since it is smaller than the sum of its proper divisors (847536).

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

330960 is a wasteful number, since it uses less digits than its factorization.

330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 330960 is about 575.2912305954. The cubic root of 330960 is about 69.1711775900.

Adding to 330960 its reverse (69033), we get a palindrome (399993).

The spelling of 330960 in words is "three hundred thirty thousand, nine hundred sixty".