239520 has 48 divisors (see below), whose sum is σ = 756000. Its totient is φ = 63744.

The previous prime is 239509. The next prime is 239521. The reversal of 239520 is 25932.

239520 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 (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (239521) by changing a digit.

239520 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, 231 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2²³⁹⁵²⁰ is an apocalyptic number.

239520 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 239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

239520 is an abundant number, since it is smaller than the sum of its proper divisors (516480).

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

239520 is a wasteful number, since it uses less digits than its factorization.

239520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 239520 is about 489.4078054138. The cubic root of 239520 is about 62.1031927018.

It can be divided in two parts, 2395 and 20, that added together give a triangular number (2415 = T₆₉).

The spelling of 239520 in words is "two hundred thirty-nine thousand, five hundred twenty".