27846 has 48 divisors (see below), whose sum is σ = 78624. Its totient is φ = 6912.

The previous prime is 27827. The next prime is 27847. The reversal of 27846 is 64872.

27846 is nontrivially palindromic in base 16.

27846 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (2688) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2²⁷⁸⁴⁶ is an apocalyptic number.

27846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

27846 is an abundant number, since it is smaller than the sum of its proper divisors (50778).

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

27846 is a wasteful number, since it uses less digits than its factorization.

27846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 42 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 27846 is about 166.8712078221. The cubic root of 27846 is about 30.3101165448.

It can be divided in two parts, 278 and 46, that added together give a square (324 = 18²).

The spelling of 27846 in words is "twenty-seven thousand, eight hundred forty-six".