330090 has 16 divisors (see below), whose sum is σ = 792288. Its totient is φ = 88016.

The previous prime is 330067. The next prime is 330097. The reversal of 330090 is 90033.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (330097) by changing a digit.

330090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5472 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (49518).

2³³⁰⁰⁹⁰ is an apocalyptic number.

330090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330090 is an abundant number, since it is smaller than the sum of its proper divisors (462198).

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

330090 is a wasteful number, since it uses less digits than its factorization.

330090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 330090 is about 574.5345942587. The cubic root of 330090 is about 69.1105139320.

The spelling of 330090 in words is "three hundred thirty thousand, ninety".