330330996 has 72 divisors (see below), whose sum is σ = 867058920. Its totient is φ = 105912576.

The previous prime is 330330977. The next prime is 330330997. The reversal of 330330996 is 699033033.

330330996 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 4 ways, for example, as 71571600 + 258759396 = 8460^2 + 16086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 330330996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330330997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414070 + ... + 414866.

It is an arithmetic number, because the mean of its divisors is an integer number (12042485).

Almost surely, 2^330330996 is an apocalyptic number.

330330996 is a gapful number since it is divisible by the number (36) 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 330330996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433529460).

330330996 is an abundant number, since it is smaller than the sum of its proper divisors (536727924).

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

330330996 is a wasteful number, since it uses less digits than its factorization.

330330996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 36.

The square root of 330330996 is about 18175.0102063245. The cubic root of 330330996 is about 691.2732884689.

The spelling of 330330996 in words is "three hundred thirty million, three hundred thirty thousand, nine hundred ninety-six".