27085168 has 40 divisors (see below), whose sum is σ = 59746176. Its totient is φ = 11774400.

The previous prime is 27085139. The next prime is 27085181. The reversal of 27085168 is 86158072.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 703 + ... + 7393.

Almost surely, 2^27085168 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 27085168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29873088).

27085168 is an abundant number, since it is smaller than the sum of its proper divisors (32661008).

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

27085168 is a wasteful number, since it uses less digits than its factorization.

27085168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 27085168 is about 5204.3412647520. The cubic root of 27085168 is about 300.3151059486.

The spelling of 27085168 in words is "twenty-seven million, eighty-five thousand, one hundred sixty-eight".