33120080 has 160 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 10536960.

The previous prime is 33120079. The next prime is 33120083. The reversal of 33120080 is 8002133.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466445 + ... + 466515.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^33120080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

33120080 is an abundant number, since it is smaller than the sum of its proper divisors (63302320).

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

33120080 is a wasteful number, since it uses less digits than its factorization.

33120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 33120080 is about 5755.0047784515. The cubic root of 33120080 is about 321.1420132943.

The spelling of 33120080 in words is "thirty-three million, one hundred twenty thousand, eighty".