230724 has 72 divisors (see below), whose sum is σ = 687960. Its totient is φ = 64512.

The previous prime is 230719. The next prime is 230729. The reversal of 230724 is 427032.

230724 = T₆₇ + T₆₈ + ... + T₁₁₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230719) and next prime (230729).

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 202500 = 168^2 + 450^2 .

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 = 230697 and 230706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230729) by changing a digit.

230724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7942 + ... + 7970.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2²³⁰⁷²⁴ 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 230724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

230724 is an abundant number, since it is smaller than the sum of its proper divisors (457236).

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

230724 is a wasteful number, since it uses less digits than its factorization.

230724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 230724 is about 480.3373814310. The cubic root of 230724 is about 61.3334777354. Note that the first 3 decimals are identical.

Adding to 230724 its reverse (427032), we get a palindrome (657756).

The spelling of 230724 in words is "two hundred thirty thousand, seven hundred twenty-four".