39096 has 32 divisors (see below), whose sum is σ = 109200. Its totient is φ = 12960.

The previous prime is 39089. The next prime is 39097. The reversal of 39096 is 69093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39097) by changing a digit.

39096 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 126 + ... + 306.

2³⁹⁰⁹⁶ is an apocalyptic number.

39096 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 39096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54600).

39096 is an abundant number, since it is smaller than the sum of its proper divisors (70104).

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

39096 is a wasteful number, since it uses less digits than its factorization.

39096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 39096 is about 197.7270846394. The cubic root of 39096 is about 33.9399169549.

The spelling of 39096 in words is "thirty-nine thousand, ninety-six".