863200 has 72 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 314880.

The previous prime is 863197. The next prime is 863231. The reversal of 863200 is 2368.

863200 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 2×863200² = 1490228480000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10359 + ... + 10441.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2⁸⁶³²⁰⁰ is an apocalyptic number.

863200 is a gapful number since it is divisible by the number (80) 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 863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364).

863200 is an abundant number, since it is smaller than the sum of its proper divisors (1433528).

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

863200 is a wasteful number, since it uses less digits than its factorization.

863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 863200 is about 929.0855719470. The cubic root of 863200 is about 95.2146577247.

Adding to 863200 its reverse (2368), we get a palindrome (865568).

The spelling of 863200 in words is "eight hundred sixty-three thousand, two hundred".