33668096 has 132 divisors (see below), whose sum is σ = 86809176. Its totient is φ = 12902400.

The previous prime is 33668087. The next prime is 33668137. The reversal of 33668096 is 69086633.

It is a super-2 number, since 2×33668096² = 2267081376530432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551906 + ... + 551966.

Almost surely, 2^33668096 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 33668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404588).

33668096 is an abundant number, since it is smaller than the sum of its proper divisors (53141080).

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

33668096 is a wasteful number, since it uses less digits than its factorization.

33668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 33668096 is about 5802.4215634509. The cubic root of 33668096 is about 322.9035742418.

The spelling of 33668096 in words is "thirty-three million, six hundred sixty-eight thousand, ninety-six".