33268144 has 80 divisors (see below), whose sum is σ = 80675392. Its totient is φ = 12939264.

The previous prime is 33268141. The next prime is 33268219. The reversal of 33268144 is 44186233.

It is a super-2 number, since 2×33268144² = 2213538810409472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33268141) 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, 106132 + ... + 106444.

Almost surely, 2^33268144 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 33268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40337696).

33268144 is an abundant number, since it is smaller than the sum of its proper divisors (47407248).

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

33268144 is a wasteful number, since it uses less digits than its factorization.

33268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 33268144 is about 5767.8543670935. The cubic root of 33268144 is about 321.6198592556.

The spelling of 33268144 in words is "thirty-three million, two hundred sixty-eight thousand, one hundred forty-four".