238784 has 56 divisors (see below), whose sum is σ = 597408. Its totient is φ = 92160.

The previous prime is 238781. The next prime is 238789. The reversal of 238784 is 487832.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 238784.

It is not an unprimeable number, because it can be changed into a prime (238781) 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 7 ways as a sum of consecutive naturals, for example, 5804 + ... + 5844.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

2²³⁸⁷⁸⁴ 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 238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298704).

238784 is an abundant number, since it is smaller than the sum of its proper divisors (358624).

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

238784 is a wasteful number, since it uses less digits than its factorization.

238784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 238784 is about 488.6552977304. The cubic root of 238784 is about 62.0395169513.

The spelling of 238784 in words is "two hundred thirty-eight thousand, seven hundred eighty-four".