238720 has 32 divisors (see below), whose sum is σ = 572220. Its totient is φ = 95232.

The previous prime is 238709. The next prime is 238723. The reversal of 238720 is 27832.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 576 = 488^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 238691 and 238700.

It is not an unprimeable number, because it can be changed into a prime (238723) by changing a digit.

238720 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 3 ways as a sum of consecutive naturals, for example, 454 + ... + 826.

2²³⁸⁷²⁰ is an apocalyptic number.

238720 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 238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286110).

238720 is an abundant number, since it is smaller than the sum of its proper divisors (333500).

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

238720 is an equidigital number, since it uses as much as digits as its factorization.

238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 238720 is about 488.5898075073. The cubic root of 238720 is about 62.0339737493.

The spelling of 238720 in words is "two hundred thirty-eight thousand, seven hundred twenty".