33125568 has 112 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 9445632.

The previous prime is 33125567. The next prime is 33125579. The reversal of 33125568 is 86552133.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (33125567) 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, 65605 + ... + 66107.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^33125568 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 33125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

33125568 is an abundant number, since it is smaller than the sum of its proper divisors (69287232).

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

33125568 is an equidigital number, since it uses as much as digits as its factorization.

33125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 33125568 is about 5755.4815610859. The cubic root of 33125568 is about 321.1597500674.

The spelling of 33125568 in words is "thirty-three million, one hundred twenty-five thousand, five hundred sixty-eight".