330832890 has 128 divisors (see below), whose sum is σ = 916012800. Its totient is φ = 84913920.

The previous prime is 330832889. The next prime is 330832907. The reversal of 330832890 is 98238033.

It is a super-2 number, since 2×330832890² = 218900802211504200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872721 + ... + 873099.

It is an arithmetic number, because the mean of its divisors is an integer number (7156350).

Almost surely, 2^330832890 is an apocalyptic number.

330832890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330832890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458006400).

330832890 is an abundant number, since it is smaller than the sum of its proper divisors (585179910).

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

330832890 is a wasteful number, since it uses less digits than its factorization.

330832890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 330832890 is about 18188.8122207031. The cubic root of 330832890 is about 691.6232105728.

The spelling of 330832890 in words is "three hundred thirty million, eight hundred thirty-two thousand, eight hundred ninety".