27668168 has 48 divisors (see below), whose sum is σ = 58352400. Its totient is φ = 12193920.

The previous prime is 27668141. The next prime is 27668171. The reversal of 27668168 is 86186672.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378980 + ... + 379052.

It is an arithmetic number, because the mean of its divisors is an integer number (1215675).

Almost surely, 2^27668168 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 27668168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29176200).

27668168 is an abundant number, since it is smaller than the sum of its proper divisors (30684232).

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

27668168 is a wasteful number, since it uses less digits than its factorization.

27668168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 145 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 27668168 is about 5260.0539921183. The cubic root of 27668168 is about 302.4545586638.

The spelling of 27668168 in words is "twenty-seven million, six hundred sixty-eight thousand, one hundred sixty-eight".