238960 has 40 divisors (see below), whose sum is σ = 580320. Its totient is φ = 91392.

The previous prime is 238949. The next prime is 238967. The reversal of 238960 is 69832.

238960 = 3² + 4² + ... + 89².

238960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238967) by changing a digit.

238960 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, 2269 + ... + 2371.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2²³⁸⁹⁶⁰ is an apocalyptic number.

238960 is a gapful number since it is divisible by the number (20) 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 238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

238960 is an abundant number, since it is smaller than the sum of its proper divisors (341360).

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

238960 is a wasteful number, since it uses less digits than its factorization.

238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 238960 is about 488.8353506039. The cubic root of 238960 is about 62.0547556516.

The spelling of 238960 in words is "two hundred thirty-eight thousand, nine hundred sixty".