39688 has 24 divisors (see below), whose sum is σ = 83790. Its totient is φ = 17600.

The previous prime is 39679. The next prime is 39703. The reversal of 39688 is 88693.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 484 = 198^2 + 22^2 .

It is an Ulam number.

Its product of digits (10368) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

39688 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 5 ways as a sum of consecutive naturals, for example, 948 + ... + 988.

2³⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41895).

39688 is an abundant number, since it is smaller than the sum of its proper divisors (44102).

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

39688 is a wasteful number, since it uses less digits than its factorization.

39688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 39688 is about 199.2184730390. The cubic root of 39688 is about 34.1103679885.

It can be divided in two parts, 396 and 88, that added together give a palindrome (484).

The spelling of 39688 in words is "thirty-nine thousand, six hundred eighty-eight".