863856 has 60 divisors (see below), whose sum is σ = 2766192. Its totient is φ = 246528.

The previous prime is 863851. The next prime is 863867. The reversal of 863856 is 658368.

863856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 863856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863851) by changing a digit.

863856 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 11 ways as a sum of consecutive naturals, for example, 580 + ... + 1436.

2⁸⁶³⁸⁵⁶ 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 863856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383096).

863856 is an abundant number, since it is smaller than the sum of its proper divisors (1902336).

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

863856 is a wasteful number, since it uses less digits than its factorization.

863856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 863856 is about 929.4385401951. The cubic root of 863856 is about 95.2387714873.

The spelling of 863856 in words is "eight hundred sixty-three thousand, eight hundred fifty-six".