863800 has 48 divisors (see below), whose sum is σ = 2298960. Its totient is φ = 295680.

The previous prime is 863783. The next prime is 863801. The reversal of 863800 is 8368.

863800 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 (25).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 863800.

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 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 1708.

It is an arithmetic number, because the mean of its divisors is an integer number (47895).

2⁸⁶³⁸⁰⁰ 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 863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149480).

863800 is an abundant number, since it is smaller than the sum of its proper divisors (1435160).

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

863800 is a wasteful number, since it uses less digits than its factorization.

863800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 863800 is about 929.4084139925. The cubic root of 863800 is about 95.2367134720.

The spelling of 863800 in words is "eight hundred sixty-three thousand, eight hundred".