238008 has 32 divisors (see below), whose sum is σ = 610560. Its totient is φ = 77280.

The previous prime is 238001. The next prime is 238009. The reversal of 238008 is 800832.

238008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238001) by changing a digit.

238008 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 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2²³⁸⁰⁰⁸ is an apocalyptic number.

238008 is the 282-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305280).

238008 is an abundant number, since it is smaller than the sum of its proper divisors (372552).

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

238008 is a wasteful number, since it uses less digits than its factorization.

238008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 238008 is about 487.8606358377. The cubic root of 238008 is about 61.9722386987.

The spelling of 238008 in words is "two hundred thirty-eight thousand, eight".