863934084 has 108 divisors (see below), whose sum is σ = 2504144916. Its totient is φ = 250159104.

The previous prime is 863934059. The next prime is 863934107. The reversal of 863934084 is 480439368.

863934084 is a `hidden beast` number, since 8 + 639 + 3 + 4 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22353984 + 841580100 = 4728^2 + 29010^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99252 + ... + 107604.

It is an arithmetic number, because the mean of its divisors is an integer number (23186527).

Almost surely, 2^863934084 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 863934084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252072458).

863934084 is an abundant number, since it is smaller than the sum of its proper divisors (1640210832).

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

863934084 is a wasteful number, since it uses less digits than its factorization.

863934084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 863934084 is about 29392.7556380820. The cubic root of 863934084 is about 952.4164094706.

The spelling of 863934084 in words is "eight hundred sixty-three million, nine hundred thirty-four thousand, eighty-four".