863922320 has 160 divisors (see below), whose sum is σ = 2256284160. Its totient is φ = 305930240.

The previous prime is 863922289. The next prime is 863922347. The reversal of 863922320 is 23229368.

863922320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220686 + ... + 2221074.

It is an arithmetic number, because the mean of its divisors is an integer number (14101776).

Almost surely, 2^863922320 is an apocalyptic number.

863922320 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 863922320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128142080).

863922320 is an abundant number, since it is smaller than the sum of its proper divisors (1392361840).

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

863922320 is a wasteful number, since it uses less digits than its factorization.

863922320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 863922320 is about 29392.5555200632. Note that the first 4 decimals coincide. The cubic root of 863922320 is about 952.4120865028.

The spelling of 863922320 in words is "eight hundred sixty-three million, nine hundred twenty-two thousand, three hundred twenty".