861808168 has 64 divisors (see below), whose sum is σ = 1790127360. Its totient is φ = 386470656.

The previous prime is 861808163. The next prime is 861808169.

861808168 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (861808163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766855 + ... + 767977.

It is an arithmetic number, because the mean of its divisors is an integer number (27970740).

Almost surely, 2^861808168 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 861808168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895063680).

861808168 is an abundant number, since it is smaller than the sum of its proper divisors (928319192).

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

861808168 is a wasteful number, since it uses less digits than its factorization.

861808168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The square root of 861808168 is about 29356.5694181047. The cubic root of 861808168 is about 951.6345518440.

The spelling of 861808168 in words is "eight hundred sixty-one million, eight hundred eight thousand, one hundred sixty-eight".