33696768 has 88 divisors (see below), whose sum is σ = 102710272. Its totient is φ = 9621504.

The previous prime is 33696763. The next prime is 33696781. The reversal of 33696768 is 86769633.

It is a happy number.

It is a super-2 number, since 2×33696768² = 2270944347291648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (33696763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20721 + ... + 22287.

Almost surely, 2^33696768 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 33696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355136).

33696768 is an abundant number, since it is smaller than the sum of its proper divisors (69013504).

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

33696768 is a wasteful number, since it uses less digits than its factorization.

33696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1579 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 33696768 is about 5804.8917302565. The cubic root of 33696768 is about 322.9952105927.

The spelling of 33696768 in words is "thirty-three million, six hundred ninety-six thousand, seven hundred sixty-eight".