33082080 has 96 divisors (see below), whose sum is σ = 106813728. Its totient is φ = 8606720.

The previous prime is 33082061. The next prime is 33082087. The reversal of 33082080 is 8028033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33082080.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 410 × 246 × 328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33082087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 806860 + ... + 806900.

It is an arithmetic number, because the mean of its divisors is an integer number (1112643).

Almost surely, 2^33082080 is an apocalyptic number.

33082080 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 33082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53406864).

33082080 is an abundant number, since it is smaller than the sum of its proper divisors (73731648).

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

33082080 is an frugal number, since it uses more digits than its factorization.

33082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 33082080 is about 5751.7023566941. The cubic root of 33082080 is about 321.0191465758.

The spelling of 33082080 in words is "thirty-three million, eighty-two thousand, eighty".