33000768 has 168 divisors, whose sum is σ = 102705408. Its totient is φ = 10103808.

The previous prime is 33000763. The next prime is 33000787. The reversal of 33000768 is 86700033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000761) 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 23 ways as a sum of consecutive naturals, for example, 622630 + ... + 622682.

Almost surely, 2^33000768 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 33000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704).

33000768 is an abundant number, since it is smaller than the sum of its proper divisors (69704640).

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

33000768 is a wasteful number, since it uses less digits than its factorization.

33000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 33000768 is about 5744.6294919690. The cubic root of 33000768 is about 320.7559212493.

The spelling of 33000768 in words is "thirty-three million, seven hundred sixty-eight", and thus it is an aban number.