863506368 has 84 divisors (see below), whose sum is σ = 2499759288. Its totient is φ = 284966400.

The previous prime is 863506367. The next prime is 863506373. The reversal of 863506368 is 863605368.

863506368 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 0 + 636 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863506367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50755 + ... + 65597.

Almost surely, 2^863506368 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 863506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249879644).

863506368 is an abundant number, since it is smaller than the sum of its proper divisors (1636252920).

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

863506368 is a wasteful number, since it uses less digits than its factorization.

863506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 863506368 is about 29385.4788628669. The cubic root of 863506368 is about 952.2592095989.

The spelling of 863506368 in words is "eight hundred sixty-three million, five hundred six thousand, three hundred sixty-eight".