868368 has 40 divisors (see below), whose sum is σ = 2281600. Its totient is φ = 284544.

The previous prime is 868349. The next prime is 868369. The reversal of 868368 is 863868.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 868368.

It is not an unprimeable number, because it can be changed into a prime (868369) by changing a digit.

868368 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3678 + ... + 3906.

It is an arithmetic number, because the mean of its divisors is an integer number (57040).

2⁸⁶⁸³⁶⁸ 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 868368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140800).

868368 is an abundant number, since it is smaller than the sum of its proper divisors (1413232).

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

868368 is a wasteful number, since it uses less digits than its factorization.

868368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 868368 is about 931.8626508236. The cubic root of 868368 is about 95.4042972806.

The spelling of 868368 in words is "eight hundred sixty-eight thousand, three hundred sixty-eight".