39824 has 20 divisors (see below), whose sum is σ = 81840. Its totient is φ = 18720.

The previous prime is 39821. The next prime is 39827. The reversal of 39824 is 42893.

It is an interprime number because it is at equal distance from previous prime (39821) and next prime (39827).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 39793 and 39802.

It is not an unprimeable number, because it can be changed into a prime (39821) 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, 239 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2³⁹⁸²⁴ 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 39824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920).

39824 is an abundant number, since it is smaller than the sum of its proper divisors (42016).

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

39824 is a wasteful number, since it uses less digits than its factorization.

39824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 39824 is about 199.5595149323. The cubic root of 39824 is about 34.1492858918.

The spelling of 39824 in words is "thirty-nine thousand, eight hundred twenty-four".