33109020 has 192 divisors, whose sum is σ = 124185600. Its totient is φ = 7153920.

The previous prime is 33109007. The next prime is 33109057. The reversal of 33109020 is 2090133.

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

It is a junction number, because it is equal to n+sod(n) for n = 33108984 and 33109002.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 71590 + ... + 72050.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 2^33109020 is an apocalyptic number.

33109020 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 33109020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

33109020 is an abundant number, since it is smaller than the sum of its proper divisors (91076580).

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

33109020 is a wasteful number, since it uses less digits than its factorization.

33109020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

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

The square root of 33109020 is about 5754.0437954538. The cubic root of 33109020 is about 321.1062623128.

Adding to 33109020 its reverse (2090133), we get a palindrome (35199153).

The spelling of 33109020 in words is "thirty-three million, one hundred nine thousand, twenty".