238320 has 60 divisors (see below), whose sum is σ = 802776. Its totient is φ = 63360.

The previous prime is 238313. The next prime is 238321. The reversal of 238320 is 23832.

238320 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 238293 and 238302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238321) by changing a digit.

238320 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 11 ways as a sum of consecutive naturals, for example, 555 + ... + 885.

238320 is a Friedman number, since it can be written as (20*3+2)^3-8, using all its digits and the basic arithmetic operations.

2²³⁸³²⁰ is an apocalyptic number.

238320 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 238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401388).

238320 is an abundant number, since it is smaller than the sum of its proper divisors (564456).

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

238320 is a wasteful number, since it uses less digits than its factorization.

238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 238320 is about 488.1802945634. The cubic root of 238320 is about 61.9993062704. Note that the first 3 decimals are identical.

The spelling of 238320 in words is "two hundred thirty-eight thousand, three hundred twenty".