39816 has 48 divisors (see below), whose sum is σ = 124800. Its totient is φ = 11232.

The previous prime is 39799. The next prime is 39821. The reversal of 39816 is 61893.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 39816.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39816.

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 11 ways as a sum of consecutive naturals, for example, 465 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (2600).

2³⁹⁸¹⁶ is an apocalyptic number.

39816 is a gapful number since it is divisible by the number (36) 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 39816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62400).

39816 is an abundant number, since it is smaller than the sum of its proper divisors (84984).

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

39816 is a wasteful number, since it uses less digits than its factorization.

39816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 39816 is about 199.5394697798. The cubic root of 39816 is about 34.1469990582.

It can be divided in two parts, 398 and 16, that added together give a palindrome (414).

The spelling of 39816 in words is "thirty-nine thousand, eight hundred sixteen".