863118168 has 96 divisors (see below), whose sum is σ = 2496782400. Its totient is φ = 247769280.

The previous prime is 863118163. The next prime is 863118181. The reversal of 863118168 is 861811368.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863118161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47355 + ... + 62997.

It is an arithmetic number, because the mean of its divisors is an integer number (26008150).

Almost surely, 2^863118168 is an apocalyptic number.

863118168 is a gapful number since it is divisible by the number (88) 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 863118168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248391200).

863118168 is an abundant number, since it is smaller than the sum of its proper divisors (1633664232).

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

863118168 is a wasteful number, since it uses less digits than its factorization.

863118168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15693 (or 15678 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 863118168 is about 29378.8728170432. The cubic root of 863118168 is about 952.1164882291.

The spelling of 863118168 in words is "eight hundred sixty-three million, one hundred eighteen thousand, one hundred sixty-eight".