861747168 has 144 divisors (see below), whose sum is σ = 2382670080. Its totient is φ = 272623104.

The previous prime is 861747163. The next prime is 861747181.

861747168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861747163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10382455 + ... + 10382537.

It is an arithmetic number, because the mean of its divisors is an integer number (16546320).

Almost surely, 2^861747168 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 861747168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191335040).

861747168 is an abundant number, since it is smaller than the sum of its proper divisors (1520922912).

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

861747168 is a wasteful number, since it uses less digits than its factorization.

861747168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 861747168 is about 29355.5304499851. The cubic root of 861747168 is about 951.6120986348.

The spelling of 861747168 in words is "eight hundred sixty-one million, seven hundred forty-seven thousand, one hundred sixty-eight".