863182368 has 72 divisors (see below), whose sum is σ = 2488361148. Its totient is φ = 283779072.

The previous prime is 863182357. The next prime is 863182381. The reversal of 863182368 is 863281368.

863182368 is a `hidden beast` number, since 8 + 631 + 8 + 2 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 828748944 + 34433424 = 28788^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 496 + ... + 41552.

Almost surely, 2^863182368 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 863182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244180574).

863182368 is an abundant number, since it is smaller than the sum of its proper divisors (1625178780).

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

863182368 is a wasteful number, since it uses less digits than its factorization.

863182368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41146 (or 41135 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 863182368 is about 29379.9654186318. The cubic root of 863182368 is about 952.1400942525.

The spelling of 863182368 in words is "eight hundred sixty-three million, one hundred eighty-two thousand, three hundred sixty-eight".