230688 has 60 divisors (see below), whose sum is σ = 686070. Its totient is φ = 76032.

The previous prime is 230683. The next prime is 230693. The reversal of 230688 is 886032.

It is an interprime number because it is at equal distance from previous prime (230683) and next prime (230693).

It can be written as a sum of positive squares in only one way, i.e., 219024 + 11664 = 468^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230683) by changing a digit.

230688 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 9 ways as a sum of consecutive naturals, for example, 2548 + ... + 2636.

230688 is a Friedman number, since it can be written as 36*(80^2+8), using all its digits and the basic arithmetic operations.

2²³⁰⁶⁸⁸ 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 230688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343035).

230688 is an abundant number, since it is smaller than the sum of its proper divisors (455382).

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

230688 is an equidigital number, since it uses as much as digits as its factorization.

230688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230688 is about 480.2999063085. The cubic root of 230688 is about 61.3302876034.

The spelling of 230688 in words is "two hundred thirty thousand, six hundred eighty-eight".