39906 has 16 divisors (see below), whose sum is σ = 88800. Its totient is φ = 13284.

The previous prime is 39901. The next prime is 39929. The reversal of 39906 is 60993.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39906.

It is not an unprimeable number, because it can be changed into a prime (39901) by changing a digit.

39906 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 7 ways as a sum of consecutive naturals, for example, 316 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (5550).

2³⁹⁹⁰⁶ is an apocalyptic number.

39906 is an abundant number, since it is smaller than the sum of its proper divisors (48894).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44400).

39906 is a wasteful number, since it uses less digits than its factorization.

39906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

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

The square root of 39906 is about 199.7648617750. The cubic root of 39906 is about 34.1727082977.

The spelling of 39906 in words is "thirty-nine thousand, nine hundred six".