863884512 has 144 divisors (see below), whose sum is σ = 2628439632. Its totient is φ = 268185600.

The previous prime is 863884507. The next prime is 863884523. The reversal of 863884512 is 215488368.

863884512 is a `hidden beast` number, since 8 + 638 + 8 + 4 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493623 + ... + 495369.

It is an arithmetic number, because the mean of its divisors is an integer number (18253053).

Almost surely, 2^863884512 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 863884512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314219816).

863884512 is an abundant number, since it is smaller than the sum of its proper divisors (1764555120).

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

863884512 is a wasteful number, since it uses less digits than its factorization.

863884512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1870 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 863884512 is about 29391.9123569733. The cubic root of 863884512 is about 952.3981927685.

The spelling of 863884512 in words is "eight hundred sixty-three million, eight hundred eighty-four thousand, five hundred twelve".