33668320 has 96 divisors (see below), whose sum is σ = 94929408. Its totient is φ = 11033088.

The previous prime is 33668311. The next prime is 33668321. The reversal of 33668320 is 2386633.

It is a happy number.

It is a super-2 number, since 2×33668320² = 2267111543244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25107 + ... + 26413.

It is an arithmetic number, because the mean of its divisors is an integer number (988848).

Almost surely, 2^33668320 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 33668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47464704).

33668320 is an abundant number, since it is smaller than the sum of its proper divisors (61261088).

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

33668320 is a wasteful number, since it uses less digits than its factorization.

33668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 33668320 is about 5802.4408657047. The cubic root of 33668320 is about 322.9042903523.

The spelling of 33668320 in words is "thirty-three million, six hundred sixty-eight thousand, three hundred twenty".