863688 has 64 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 239616.

The previous prime is 863671. The next prime is 863689. The reversal of 863688 is 886368.

863688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×863688² = 1491913922688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (863689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8856 + ... + 8952.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁸⁶³⁶⁸⁸ 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 863688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

863688 is an abundant number, since it is smaller than the sum of its proper divisors (1676472).

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

863688 is a wasteful number, since it uses less digits than its factorization.

863688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

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

The square root of 863688 is about 929.3481586575. The cubic root of 863688 is about 95.2325971747.

It can be divided in two parts, 863 and 688, that added together give a palindrome (1551).

The spelling of 863688 in words is "eight hundred sixty-three thousand, six hundred eighty-eight".