864811008 has 72 divisors (see below), whose sum is σ = 2497786200. Its totient is φ = 288264192.

The previous prime is 864810997. The next prime is 864811021. The reversal of 864811008 is 800118468.

864811008 is a `hidden beast` number, since 8 + 648 + 1 + 1 + 0 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5028 + ... + 41891.

It is an arithmetic number, because the mean of its divisors is an integer number (34691475).

Almost surely, 2^864811008 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 864811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248893100).

864811008 is an abundant number, since it is smaller than the sum of its proper divisors (1632975192).

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

864811008 is a wasteful number, since it uses less digits than its factorization.

864811008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46947 (or 46924 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 864811008 is about 29407.6692037978. The cubic root of 864811008 is about 952.7385460769.

The spelling of 864811008 in words is "eight hundred sixty-four million, eight hundred eleven thousand, eight".