864115668 has 192 divisors, whose sum is σ = 2629536000. Its totient is φ = 242984448.

The previous prime is 864115621. The next prime is 864115741. The reversal of 864115668 is 866511468.

864115668 is a `hidden beast` number, since 86 + 4 + 1 + 1 + 566 + 8 = 666.

864115668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773046 + ... + 774162.

It is an arithmetic number, because the mean of its divisors is an integer number (13695500).

Almost surely, 2^864115668 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 864115668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314768000).

864115668 is an abundant number, since it is smaller than the sum of its proper divisors (1765420332).

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

864115668 is a wasteful number, since it uses less digits than its factorization.

864115668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1183 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 864115668 is about 29395.8444001869. The cubic root of 864115668 is about 952.4831319475.

The spelling of 864115668 in words is "eight hundred sixty-four million, one hundred fifteen thousand, six hundred sixty-eight".