863296 has 56 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 353280.

The previous prime is 863287. The next prime is 863299. The reversal of 863296 is 692368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 8 + 6 + 2¹⁹ + 3¹⁰ + 9 + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (863299) by changing a digit.

863296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18345 + ... + 18391.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2⁸⁶³²⁹⁶ 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 863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

863296 is an abundant number, since it is smaller than the sum of its proper divisors (1184960).

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

863296 is a wasteful number, since it uses less digits than its factorization.

863296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 863296 is about 929.1372342125. The cubic root of 863296 is about 95.2181873309.

The spelling of 863296 in words is "eight hundred sixty-three thousand, two hundred ninety-six".