27816 has 32 divisors (see below), whose sum is σ = 74400. Its totient is φ = 8640.

The previous prime is 27809. The next prime is 27817. The reversal of 27816 is 61872.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27816.

It is not an unprimeable number, because it can be changed into a prime (27817) by changing a digit.

27816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 426 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

2²⁷⁸¹⁶ 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 27816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200).

27816 is an abundant number, since it is smaller than the sum of its proper divisors (46584).

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

27816 is a wasteful number, since it uses less digits than its factorization.

27816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 27816 is about 166.7812939151. The cubic root of 27816 is about 30.2992277249.

The spelling of 27816 in words is "twenty-seven thousand, eight hundred sixteen".