863368 has 16 divisors (see below), whose sum is σ = 1766160. Its totient is φ = 392400.

The previous prime is 863363. The next prime is 863377.

863368 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (863363) by changing a digit.

863368 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 3 ways as a sum of consecutive naturals, for example, 4818 + ... + 4993.

It is an arithmetic number, because the mean of its divisors is an integer number (110385).

2⁸⁶³³⁶⁸ is an apocalyptic number.

863368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

863368 is an abundant number, since it is smaller than the sum of its proper divisors (902792).

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

863368 is a wasteful number, since it uses less digits than its factorization.

863368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828 (or 9824 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 863368 is about 929.1759790266. The cubic root of 863368 is about 95.2208343639.

It can be divided in two parts, 8 and 63368, that multiplied together give a square (506944 = 712²).

The spelling of 863368 in words is "eight hundred sixty-three thousand, three hundred sixty-eight".