33104120 has 64 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 11272320.

The previous prime is 33104111. The next prime is 33104131. The reversal of 33104120 is 2140133.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 33104095 and 33104104.

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 15 ways as a sum of consecutive naturals, for example, 53171 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^33104120 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 33104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

33104120 is an abundant number, since it is smaller than the sum of its proper divisors (52604680).

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

33104120 is a wasteful number, since it uses less digits than its factorization.

33104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 33104120 is about 5753.6179921854. The cubic root of 33104120 is about 321.0904207253.

Adding to 33104120 its reverse (2140133), we get a palindrome (35244253).

The spelling of 33104120 in words is "thirty-three million, one hundred four thousand, one hundred twenty".