864759168 has 384 divisors, whose sum is σ = 3132118080. Its totient is φ = 222953472.

The previous prime is 864759143. The next prime is 864759169. The reversal of 864759168 is 861957468.

864759168 is a `hidden beast` number, since 8 + 6 + 47 + 591 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864759169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7652680 + ... + 7652792.

Almost surely, 2^864759168 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 864759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566059040).

864759168 is an abundant number, since it is smaller than the sum of its proper divisors (2267358912).

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

864759168 is a wasteful number, since it uses less digits than its factorization.

864759168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 864759168 is about 29406.7877878561. The cubic root of 864759168 is about 952.7195087949.

The spelling of 864759168 in words is "eight hundred sixty-four million, seven hundred fifty-nine thousand, one hundred sixty-eight".