33084320 has 48 divisors (see below), whose sum is σ = 82283040. Its totient is φ = 12536064.

The previous prime is 33084319. The next prime is 33084341. The reversal of 33084320 is 2348033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2402 + ... + 8481.

It is an arithmetic number, because the mean of its divisors is an integer number (1714230).

Almost surely, 2^33084320 is an apocalyptic number.

It is an amenable number.

33084320 is an abundant number, since it is smaller than the sum of its proper divisors (49198720).

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

33084320 is a wasteful number, since it uses less digits than its factorization.

33084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 33084320 is about 5751.8970783560. The cubic root of 33084320 is about 321.0263918545.

The spelling of 33084320 in words is "thirty-three million, eighty-four thousand, three hundred twenty".