863888368 has 80 divisors (see below), whose sum is σ = 1972373760. Its totient is φ = 358848000.

The previous prime is 863888357. The next prime is 863888381.

863888368 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×863888368³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821443 + ... + 822493.

It is an arithmetic number, because the mean of its divisors is an integer number (24654672).

Almost surely, 2^863888368 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 863888368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986186880).

863888368 is an abundant number, since it is smaller than the sum of its proper divisors (1108485392).

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

863888368 is a wasteful number, since it uses less digits than its factorization.

863888368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

The square root of 863888368 is about 29391.9779531763. The cubic root of 863888368 is about 952.3996097951.

The spelling of 863888368 in words is "eight hundred sixty-three million, eight hundred eighty-eight thousand, three hundred sixty-eight".