27368 has 16 divisors (see below), whose sum is σ = 56160. Its totient is φ = 12400.

The previous prime is 27367. The next prime is 27397. The reversal of 27368 is 86372.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 7⁵ + 3⁶ + 6⁵ + 8 .

It is not an unprimeable number, because it can be changed into a prime (27361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2²⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

27368 is an abundant number, since it is smaller than the sum of its proper divisors (28792).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080).

27368 is a wasteful number, since it uses less digits than its factorization.

27368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 27368 is about 165.4327657993. The cubic root of 27368 is about 30.1356817202.

Subtracting from 27368 its product of digits (2016), we obtain a palindrome (25352).

It can be divided in two parts, 2736 and 8, that added together give a cube (2744 = 14³).

The spelling of 27368 in words is "twenty-seven thousand, three hundred sixty-eight".