861179256 has 256 divisors, whose sum is σ = 2973696000. Its totient is φ = 225348480.

The previous prime is 861179239. The next prime is 861179299. The reversal of 861179256 is 652971168.

861179256 is a `hidden beast` number, since 8 + 611 + 7 + 9 + 25 + 6 = 666.

861179256 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, 890085 + ... + 891051.

It is an arithmetic number, because the mean of its divisors is an integer number (11616000).

Almost surely, 2^861179256 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 861179256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486848000).

861179256 is an abundant number, since it is smaller than the sum of its proper divisors (2112516744).

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

861179256 is a wasteful number, since it uses less digits than its factorization.

861179256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 861179256 is about 29345.8558573438. The cubic root of 861179256 is about 951.4030076497.

The spelling of 861179256 in words is "eight hundred sixty-one million, one hundred seventy-nine thousand, two hundred fifty-six".