33265664 has 48 divisors (see below), whose sum is σ = 68468400. Its totient is φ = 16146432.

The previous prime is 33265657. The next prime is 33265669. The reversal of 33265664 is 46656233.

It is a super-2 number, since 2×33265664² = 2213208802721792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33265669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75557 + ... + 75995.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^33265664 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 33265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234200).

33265664 is an abundant number, since it is smaller than the sum of its proper divisors (35202736).

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

33265664 is an equidigital number, since it uses as much as digits as its factorization.

33265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

The square root of 33265664 is about 5767.6393784633. The cubic root of 33265664 is about 321.6118672551.

The spelling of 33265664 in words is "thirty-three million, two hundred sixty-five thousand, six hundred sixty-four".