33027168 has 72 divisors (see below), whose sum is σ = 91595448. Its totient is φ = 10418688.

The previous prime is 33027161. The next prime is 33027193. The reversal of 33027168 is 86172033.

It is a super-2 number, since 2×33027168² = 2181587652200448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33027161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34180 + ... + 35132.

It is an arithmetic number, because the mean of its divisors is an integer number (1272159).

Almost surely, 2^33027168 is an apocalyptic number.

33027168 is a gapful number since it is divisible by the number (38) 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 33027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45797724).

33027168 is an abundant number, since it is smaller than the sum of its proper divisors (58568280).

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

33027168 is a wasteful number, since it uses less digits than its factorization.

33027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 33027168 is about 5746.9268309245. The cubic root of 33027168 is about 320.8414313730.

The spelling of 33027168 in words is "thirty-three million, twenty-seven thousand, one hundred sixty-eight".