330006960 has 200 divisors, whose sum is σ = 1158068736. Its totient is φ = 87091200.

The previous prime is 330006923. The next prime is 330007021. The reversal of 330006960 is 69600033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 822760 + ... + 823160.

Almost surely, 2^330006960 is an apocalyptic number.

330006960 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 330006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579034368).

330006960 is an abundant number, since it is smaller than the sum of its proper divisors (828061776).

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

330006960 is a wasteful number, since it uses less digits than its factorization.

330006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 330006960 is about 18166.0936912700. The cubic root of 330006960 is about 691.0471812039.

Adding to 330006960 its reverse (69600033), we get a palindrome (399606993).

The spelling of 330006960 in words is "three hundred thirty million, six thousand, nine hundred sixty".