861303168 has 288 divisors, whose sum is σ = 2814673680. Its totient is φ = 252426240.

The previous prime is 861303151. The next prime is 861303197.

861303168 is a `hidden beast` number, since 8 + 613 + 0 + 31 + 6 + 8 = 666.

861303168 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 5157421 + ... + 5157587.

Almost surely, 2^861303168 is an apocalyptic number.

861303168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861303168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407336840).

861303168 is an abundant number, since it is smaller than the sum of its proper divisors (1953370512).

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

861303168 is a wasteful number, since it uses less digits than its factorization.

861303168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 861303168 is about 29347.9670164732. The cubic root of 861303168 is about 951.4486367855.

It can be divided in two parts, 86130 and 3168, that added together give a palindrome (89298).

The spelling of 861303168 in words is "eight hundred sixty-one million, three hundred three thousand, one hundred sixty-eight".