27824 has 20 divisors (see below), whose sum is σ = 56544. Its totient is φ = 13248.

The previous prime is 27823. The next prime is 27827. The reversal of 27824 is 42872.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 27824.

It is not an unprimeable number, because it can be changed into a prime (27823) 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 3 ways as a sum of consecutive naturals, for example, 569 + ... + 615.

2²⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

27824 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (28272).

27824 is a wasteful number, since it uses less digits than its factorization.

27824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 27824 is about 166.8052756959. The cubic root of 27824 is about 30.3021321754.

The spelling of 27824 in words is "twenty-seven thousand, eight hundred twenty-four".