27845168 has 40 divisors (see below), whose sum is σ = 59110800. Its totient is φ = 12628224.

The previous prime is 27845159. The next prime is 27845171. The reversal of 27845168 is 86154872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11138 + ... + 13406.

It is an arithmetic number, because the mean of its divisors is an integer number (1477770).

Almost surely, 2^27845168 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 27845168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29555400).

27845168 is an abundant number, since it is smaller than the sum of its proper divisors (31265632).

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

27845168 is a wasteful number, since it uses less digits than its factorization.

27845168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 27845168 is about 5276.8520919200. The cubic root of 27845168 is about 303.0981466700.

The spelling of 27845168 in words is "twenty-seven million, eight hundred forty-five thousand, one hundred sixty-eight".