33299968 has 40 divisors (see below), whose sum is σ = 71667288. Its totient is φ = 15366144.

The previous prime is 33299947. The next prime is 33299969. The reversal of 33299968 is 86999233.

It is a happy number.

It is a super-2 number, since 2×33299968² = 2217775737602048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33299969) 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, 4155 + ... + 9157.

Almost surely, 2^33299968 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 33299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35833644).

33299968 is an abundant number, since it is smaller than the sum of its proper divisors (38367320).

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

33299968 is an equidigital number, since it uses as much as digits as its factorization.

33299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5018 counting only the distinct ones).

The product of its digits is 629856, while the sum is 49.

The square root of 33299968 is about 5770.6124458328. The cubic root of 33299968 is about 321.7223794372.

The spelling of 33299968 in words is "thirty-three million, two hundred ninety-nine thousand, nine hundred sixty-eight".