33090330 has 256 divisors, whose sum is σ = 111476736. Its totient is φ = 6082560.

The previous prime is 33090319. The next prime is 33090371. The reversal of 33090330 is 3309033.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33090297 and 33090306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1067415 + ... + 1067445.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^33090330 is an apocalyptic number.

33090330 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 33090330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368).

33090330 is an abundant number, since it is smaller than the sum of its proper divisors (78386406).

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

33090330 is a wasteful number, since it uses less digits than its factorization.

33090330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 33090330 is about 5752.4194909620. The cubic root of 33090330 is about 321.0458295800.

Adding to 33090330 its reverse (3309033), we get a palindrome (36399363).

The spelling of 33090330 in words is "thirty-three million, ninety thousand, three hundred thirty".