33120090 has 80 divisors (see below), whose sum is σ = 91998720. Its totient is φ = 8540640.

The previous prime is 33120083. The next prime is 33120091. The reversal of 33120090 is 9002133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33120091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24451 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (1149984).

Almost surely, 2^33120090 is an apocalyptic number.

33120090 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 33120090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45999360).

33120090 is an abundant number, since it is smaller than the sum of its proper divisors (58878630).

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

33120090 is a wasteful number, since it uses less digits than its factorization.

33120090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 33120090 is about 5755.0056472605. The cubic root of 33120090 is about 321.1420456153.

The spelling of 33120090 in words is "thirty-three million, one hundred twenty thousand, ninety".