238656 has 56 divisors (see below), whose sum is σ = 694944. Its totient is φ = 71680.

The previous prime is 238649. The next prime is 238657. The reversal of 238656 is 656832.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (238657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2056 + ... + 2168.

2²³⁸⁶⁵⁶ 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 238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472).

238656 is an abundant number, since it is smaller than the sum of its proper divisors (456288).

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

238656 is a wasteful number, since it uses less digits than its factorization.

238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 238656 is about 488.5243085047. The cubic root of 238656 is about 62.0284295564.

It can be divided in two parts, 23865 and 6, that added together give a triangular number (23871 = T₂₁₈).

The spelling of 238656 in words is "two hundred thirty-eight thousand, six hundred fifty-six".