863808 has 56 divisors (see below), whose sum is σ = 2499360. Its totient is φ = 261120.

The previous prime is 863803. The next prime is 863833. The reversal of 863808 is 808368.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (863801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908 + ... + 2316.

2⁸⁶³⁸⁰⁸ is an apocalyptic number.

863808 is a gapful number since it is divisible by the number (88) 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 863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249680).

863808 is an abundant number, since it is smaller than the sum of its proper divisors (1635552).

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

863808 is a wasteful number, since it uses less digits than its factorization.

863808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 863808 is about 929.4127177955. The cubic root of 863808 is about 95.2370074796.

The spelling of 863808 in words is "eight hundred sixty-three thousand, eight hundred eight".