861947584 has 56 divisors (see below), whose sum is σ = 1739320880. Its totient is φ = 423760896.

The previous prime is 861947557. The next prime is 861947587. The reversal of 861947584 is 485749168.

It is not an unprimeable number, because it can be changed into a prime (861947587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094839 + ... + 1095625.

Almost surely, 2^861947584 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 861947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869660440).

861947584 is an abundant number, since it is smaller than the sum of its proper divisors (877373296).

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

861947584 is a wasteful number, since it uses less digits than its factorization.

861947584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The square root of 861947584 is about 29358.9438502137. The cubic root of 861947584 is about 951.6858648601.

The spelling of 861947584 in words is "eight hundred sixty-one million, nine hundred forty-seven thousand, five hundred eighty-four".