230368 has 24 divisors (see below), whose sum is σ = 474768. Its totient is φ = 109824.

The previous prime is 230357. The next prime is 230369. The reversal of 230368 is 863032.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 580 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (19782).

2²³⁰³⁶⁸ 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 230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237384).

230368 is an abundant number, since it is smaller than the sum of its proper divisors (244400).

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

230368 is a wasteful number, since it uses less digits than its factorization.

230368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 230368 is about 479.9666655092. The cubic root of 230368 is about 61.3019162770.

The spelling of 230368 in words is "two hundred thirty thousand, three hundred sixty-eight".