330990 has 64 divisors (see below), whose sum is σ = 933120. Its totient is φ = 74240.

The previous prime is 330983. The next prime is 330997. The reversal of 330990 is 99033.

330990 = T₁₀₀ + T₁₀₁ + ... + T₁₄₃.

330990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330983) and next prime (330997).

330990 is a modest number, since divided by 990 gives 330 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 330990.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330990.

It is not an unprimeable number, because it can be changed into a prime (330997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5581 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2³³⁰⁹⁹⁰ is an apocalyptic number.

330990 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 330990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

330990 is an abundant number, since it is smaller than the sum of its proper divisors (602130).

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

330990 is a wasteful number, since it uses less digits than its factorization.

330990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 330990 is about 575.3173037551. The cubic root of 330990 is about 69.1732675431.

The spelling of 330990 in words is "three hundred thirty thousand, nine hundred ninety".