33000640 has 56 divisors (see below), whose sum is σ = 79077312. Its totient is φ = 13117440.

The previous prime is 33000629. The next prime is 33000659. The reversal of 33000640 is 4600033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 89737 + ... + 90103.

Almost surely, 2^33000640 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 33000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39538656).

33000640 is an abundant number, since it is smaller than the sum of its proper divisors (46076672).

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

33000640 is a wasteful number, since it uses less digits than its factorization.

33000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33000640 is about 5744.6183511179. The cubic root of 33000640 is about 320.7555065437.

Adding to 33000640 its reverse (4600033), we get a palindrome (37600673).

The spelling of 33000640 in words is "thirty-three million, six hundred forty", and thus it is an aban number.