330989120 has 336 divisors, whose sum is σ = 1063264320. Its totient is φ = 96768000.

The previous prime is 330989119. The next prime is 330989137. The reversal of 330989120 is 21989033.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277070 + ... + 3277170.

Almost surely, 2^330989120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531632160).

330989120 is an abundant number, since it is smaller than the sum of its proper divisors (732275200).

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

330989120 is a wasteful number, since it uses less digits than its factorization.

330989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 330989120 is about 18193.1063867609. The cubic root of 330989120 is about 691.7320623963.

It can be divided in two parts, 3309 and 89120, that added together give a palindrome (92429).

The spelling of 330989120 in words is "three hundred thirty million, nine hundred eighty-nine thousand, one hundred twenty".