230824 has 32 divisors (see below), whose sum is σ = 491040. Its totient is φ = 100800.

The previous prime is 230819. The next prime is 230827. The reversal of 230824 is 428032.

230824 = 27³ + 28³ + ... + 34³.

It is a happy number.

230824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230827) by changing a digit.

230824 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, 3754 + ... + 3814.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2²³⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

230824 is an abundant number, since it is smaller than the sum of its proper divisors (260216).

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

230824 is a wasteful number, since it uses less digits than its factorization.

230824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 230824 is about 480.4414636561. The cubic root of 230824 is about 61.3423374724.

Adding to 230824 its reverse (428032), we get a palindrome (658856).

It can be divided in two parts, 2308 and 24, that added together give a palindrome (2332).

The spelling of 230824 in words is "two hundred thirty thousand, eight hundred twenty-four".