238080 has 80 divisors (see below), whose sum is σ = 785664. Its totient is φ = 61440.

The previous prime is 238079. The next prime is 238081. The reversal of 238080 is 80832.

It is an interprime number because it is at equal distance from previous prime (238079) and next prime (238081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (238081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7665 + ... + 7695.

2²³⁸⁰⁸⁰ is an apocalyptic number.

238080 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 238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832).

238080 is an abundant number, since it is smaller than the sum of its proper divisors (547584).

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

238080 is an equidigital number, since it uses as much as digits as its factorization.

238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

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

The square root of 238080 is about 487.9344218233. The cubic root of 238080 is about 61.9784871600.

The spelling of 238080 in words is "two hundred thirty-eight thousand, eighty".