863248320 has 448 divisors, whose sum is σ = 3441070080. Its totient is φ = 201830400.

The previous prime is 863248303. The next prime is 863248327. The reversal of 863248320 is 23842368.

863248320 is a `hidden beast` number, since 8 + 6 + 324 + 8 + 320 = 666.

863248320 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (863248327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946094 + ... + 2946386.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^863248320 is an apocalyptic number.

863248320 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 863248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

863248320 is an abundant number, since it is smaller than the sum of its proper divisors (2577821760).

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

863248320 is a wasteful number, since it uses less digits than its factorization.

863248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 863248320 is about 29381.0877947022. The cubic root of 863248320 is about 952.1643432589.

The spelling of 863248320 in words is "eight hundred sixty-three million, two hundred forty-eight thousand, three hundred twenty".