239688 has 24 divisors (see below), whose sum is σ = 649350. Its totient is φ = 79872.

The previous prime is 239671. The next prime is 239689. The reversal of 239688 is 886932.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 26244 = 462^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 239688.

It is not an unprimeable number, because it can be changed into a prime (239689) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1593 + ... + 1736.

2²³⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

239688 is an abundant number, since it is smaller than the sum of its proper divisors (409662).

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

239688 is a wasteful number, since it uses less digits than its factorization.

239688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3334 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 239688 is about 489.5794113318. The cubic root of 239688 is about 62.1177090929.

The spelling of 239688 in words is "two hundred thirty-nine thousand, six hundred eighty-eight".