238896 has 80 divisors (see below), whose sum is σ = 793600. Its totient is φ = 67392.

The previous prime is 238883. The next prime is 238897. The reversal of 238896 is 698832.

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 nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 238896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238897) by changing a digit.

238896 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 15 ways as a sum of consecutive naturals, for example, 2985 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (9920).

2²³⁸⁸⁹⁶ 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 238896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396800).

238896 is an abundant number, since it is smaller than the sum of its proper divisors (554704).

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

238896 is a wasteful number, since it uses less digits than its factorization.

238896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

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

The square root of 238896 is about 488.7698845060. The cubic root of 238896 is about 62.0492151720.

The spelling of 238896 in words is "two hundred thirty-eight thousand, eight hundred ninety-six".