39996 has 36 divisors (see below), whose sum is σ = 111384. Its totient is φ = 12000.

The previous prime is 39989. The next prime is 40009. The reversal of 39996 is 69993.

39996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 39996.

It is a congruent number.

It is an unprimeable number.

39996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (3094).

2³⁹⁹⁹⁶ is an apocalyptic number.

39996 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 39996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55692).

39996 is an abundant number, since it is smaller than the sum of its proper divisors (71388).

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

39996 is a wasteful number, since it uses less digits than its factorization.

39996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 39996 is about 199.9899997500. The cubic root of 39996 is about 34.1983789116.

39996 divided by its sum of digits (36) gives a palindrome (1111).

It can be divided in two parts, 3999 and 6, that added together give a triangular number (4005 = T₈₉).

The spelling of 39996 in words is "thirty-nine thousand, nine hundred ninety-six".