330080832 has 140 divisors (see below), whose sum is σ = 1002973356. Its totient is φ = 107274240.

The previous prime is 330080819. The next prime is 330080851. The reversal of 330080832 is 238080033.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 306110016 = 4896^2 + 17496^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 330080796 and 330080805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211768 + ... + 213320.

Almost surely, 2^330080832 is an apocalyptic number.

330080832 is a gapful number since it is divisible by the number (32) 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 330080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501486678).

330080832 is an abundant number, since it is smaller than the sum of its proper divisors (672892524).

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

330080832 is a wasteful number, since it uses less digits than its factorization.

330080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 330080832 is about 18168.1268159379. The cubic root of 330080832 is about 691.0987409536.

The spelling of 330080832 in words is "three hundred thirty million, eighty thousand, eight hundred thirty-two".