27360 has 72 divisors (see below), whose sum is σ = 98280. Its totient is φ = 6912.

The previous prime is 27337. The next prime is 27361. The reversal of 27360 is 6372.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2¹¹ + 7⁵ + 3⁶ + 6⁵ + 0 .

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1431 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2²⁷³⁶⁰ is an apocalyptic number.

27360 is a gapful number since it is divisible by the number (20) 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 27360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

27360 is an abundant number, since it is smaller than the sum of its proper divisors (70920).

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

27360 is a wasteful number, since it uses less digits than its factorization.

27360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 27360 is about 165.4085850251. The cubic root of 27360 is about 30.1327450917.

It can be divided in two parts, 273 and 60, that added together give a palindrome (333).

The spelling of 27360 in words is "twenty-seven thousand, three hundred sixty".