33064768 has 56 divisors (see below), whose sum is σ = 72749664. Its totient is φ = 14784000.

The previous prime is 33064753. The next prime is 33064781. The reversal of 33064768 is 86746033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46818 + ... + 47518.

Almost surely, 2^33064768 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 33064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36374832).

33064768 is an abundant number, since it is smaller than the sum of its proper divisors (39684896).

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

33064768 is a wasteful number, since it uses less digits than its factorization.

33064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 33064768 is about 5750.1972140093. The cubic root of 33064768 is about 320.9631398882.

The spelling of 33064768 in words is "thirty-three million, sixty-four thousand, seven hundred sixty-eight".