19824 has 40 divisors (see below), whose sum is σ = 59520. Its totient is φ = 5568.

The previous prime is 19819. The next prime is 19841. The reversal of 19824 is 42891.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 19794 and 19803.

It is a congruent number.

It is an unprimeable 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, 307 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

2¹⁹⁸²⁴ is an apocalyptic number.

19824 is a gapful number since it is divisible by the number (14) 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 19824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

19824 is an abundant number, since it is smaller than the sum of its proper divisors (39696).

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

19824 is a wasteful number, since it uses less digits than its factorization.

19824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 19824 is about 140.7977272544. The cubic root of 19824 is about 27.0643185400.

It can be divided in two parts, 198 and 24, that added together give a palindrome (222).

The spelling of 19824 in words is "nineteen thousand, eight hundred twenty-four".