39606 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 10560.

The previous prime is 39581. The next prime is 39607. The reversal of 39606 is 60693.

39606 = 14² + 15² + ... + 49².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁹⁶⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

39606 is an abundant number, since it is smaller than the sum of its proper divisors (57162).

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

39606 is a wasteful number, since it uses less digits than its factorization.

39606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 39606 is about 199.0125624176. The cubic root of 39606 is about 34.0868598019.

The spelling of 39606 in words is "thirty-nine thousand, six hundred six".