863883168 has 96 divisors (see below), whose sum is σ = 2318766912. Its totient is φ = 281548800.

The previous prime is 863883157. The next prime is 863883187. The reversal of 863883168 is 861388368.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 863883168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917578 + ... + 918518.

It is an arithmetic number, because the mean of its divisors is an integer number (24153822).

Almost surely, 2^863883168 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 863883168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159383456).

863883168 is an abundant number, since it is smaller than the sum of its proper divisors (1454883744).

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

863883168 is a wasteful number, since it uses less digits than its factorization.

863883168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 863883168 is about 29391.8894935321. The cubic root of 863883168 is about 952.3976988662.

It can be divided in two parts, 8638 and 83168, that added together give a triangular number (91806 = T₄₂₈).

The spelling of 863883168 in words is "eight hundred sixty-three million, eight hundred eighty-three thousand, one hundred sixty-eight".