33268320 has 240 divisors, whose sum is σ = 125139168. Its totient is φ = 8294400.

The previous prime is 33268267. The next prime is 33268321. The reversal of 33268320 is 2386233.

33268320 is a `hidden beast` number, since 332 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33268320² = 2213562231244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33268321) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 220245 + ... + 220395.

Almost surely, 2^33268320 is an apocalyptic number.

33268320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62569584).

33268320 is an abundant number, since it is smaller than the sum of its proper divisors (91870848).

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

33268320 is a wasteful number, since it uses less digits than its factorization.

33268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33268320 is about 5767.8696240466. The cubic root of 33268320 is about 321.6204264148.

The spelling of 33268320 in words is "thirty-three million, two hundred sixty-eight thousand, three hundred twenty".