330009660 has 192 divisors, whose sum is σ = 1072512000. Its totient is φ = 84167424.

The previous prime is 330009653. The next prime is 330009671. The reversal of 330009660 is 66900033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1658241 + ... + 1658439.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2^330009660 is an apocalyptic number.

330009660 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 330009660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256000).

330009660 is an abundant number, since it is smaller than the sum of its proper divisors (742502340).

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

330009660 is a wasteful number, since it uses less digits than its factorization.

330009660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

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

The square root of 330009660 is about 18166.1680053885. The cubic root of 330009660 is about 691.0490658331.

Adding to 330009660 its reverse (66900033), we get a palindrome (396909693).

The spelling of 330009660 in words is "three hundred thirty million, nine thousand, six hundred sixty".