33082320 has 80 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 8773632.

The previous prime is 33082319. The next prime is 33082369. The reversal of 33082320 is 2328033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73456 + ... + 73904.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^33082320 is an apocalyptic number.

33082320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

33082320 is an abundant number, since it is smaller than the sum of its proper divisors (70036080).

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

33082320 is a wasteful number, since it uses less digits than its factorization.

33082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33082320 is about 5751.7232200446. The cubic root of 33082320 is about 321.0199228713.

The spelling of 33082320 in words is "thirty-three million, eighty-two thousand, three hundred twenty".