239568 has 80 divisors (see below), whose sum is σ = 761856. Its totient is φ = 63360.

The previous prime is 239567. The next prime is 239579. The reversal of 239568 is 865932.

It is a happy number.

Its product of digits (12960) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239567) 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, 7713 + ... + 7743.

2²³⁹⁵⁶⁸ is an apocalyptic number.

239568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380928).

239568 is an abundant number, since it is smaller than the sum of its proper divisors (522288).

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

239568 is a wasteful number, since it uses less digits than its factorization.

239568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 239568 is about 489.4568418155. The cubic root of 239568 is about 62.1073409345.

It can be divided in two parts, 23 and 9568, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 239568 in words is "two hundred thirty-nine thousand, five hundred sixty-eight".