230784 has 32 divisors (see below), whose sum is σ = 614040. Its totient is φ = 76800.

The previous prime is 230779. The next prime is 230807. The reversal of 230784 is 487032.

230784 is nontrivially palindromic in base 7.

230784 is digitally balanced in base 3, 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 (32).

It is a super-2 number, since 2×230784² = 106522509312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 684.

2²³⁰⁷⁸⁴ is an apocalyptic number.

230784 is a gapful number since it is divisible by the number (24) 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 230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307020).

230784 is an abundant number, since it is smaller than the sum of its proper divisors (383256).

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

230784 is an equidigital number, since it uses as much as digits as its factorization.

230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 230784 is about 480.3998334721. The cubic root of 230784 is about 61.3387938848.

The spelling of 230784 in words is "two hundred thirty thousand, seven hundred eighty-four".