861130980 has 96 divisors (see below), whose sum is σ = 2683363200. Its totient is φ = 229267584.

The previous prime is 861130979. The next prime is 861130987. The reversal of 861130980 is 89031168.

861130980 is a `hidden beast` number, since 8 + 611 + 30 + 9 + 8 + 0 = 666.

861130980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (861130987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589491 + ... + 590949.

It is an arithmetic number, because the mean of its divisors is an integer number (27951700).

Almost surely, 2^861130980 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 861130980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341681600).

861130980 is an abundant number, since it is smaller than the sum of its proper divisors (1822232220).

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

861130980 is a wasteful number, since it uses less digits than its factorization.

861130980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 861130980 is about 29345.0333105962. The cubic root of 861130980 is about 951.3852293960.

It can be divided in two parts, 861 and 130980, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 861130980 in words is "eight hundred sixty-one million, one hundred thirty thousand, nine hundred eighty".