863616816 has 100 divisors (see below), whose sum is σ = 2557851912. Its totient is φ = 281159424.

The previous prime is 863616799. The next prime is 863616841. The reversal of 863616816 is 618616368.

863616816 is a `hidden beast` number, since 8 + 636 + 1 + 6 + 8 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47980 + ... + 63476.

Almost surely, 2^863616816 is an apocalyptic number.

863616816 is a gapful number since it is divisible by the number (86) 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 863616816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278925956).

863616816 is an abundant number, since it is smaller than the sum of its proper divisors (1694235096).

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

863616816 is a wasteful number, since it uses less digits than its factorization.

863616816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15560 (or 15545 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 863616816 is about 29387.3580983388. The cubic root of 863616816 is about 952.2998078872.

It can be divided in two parts, 8636 and 16816, that added together give a palindrome (25452).

The spelling of 863616816 in words is "eight hundred sixty-three million, six hundred sixteen thousand, eight hundred sixteen".