39888 has 30 divisors (see below), whose sum is σ = 112034. Its totient is φ = 13248.

The previous prime is 39887. The next prime is 39901. The reversal of 39888 is 88893.

39888 is nontrivially palindromic in base 11.

39888 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 11664 = 168^2 + 108^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (39883) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6 + ... + 282.

2³⁹⁸⁸⁸ 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 39888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56017).

39888 is an abundant number, since it is smaller than the sum of its proper divisors (72146).

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

39888 is a wasteful number, since it uses less digits than its factorization.

39888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 39888 is about 199.7198037251. The cubic root of 39888 is about 34.1675695445.

The spelling of 39888 in words is "thirty-nine thousand, eight hundred eighty-eight".