861795648 has 168 divisors, whose sum is σ = 2946123648. Its totient is φ = 235496448.

The previous prime is 861795631. The next prime is 861795653. The reversal of 861795648 is 846597168.

861795648 is a `hidden beast` number, since 8 + 6 + 1 + 79 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 861795594 and 861795603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88090 + ... + 97382.

Almost surely, 2^861795648 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 861795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473061824).

861795648 is an abundant number, since it is smaller than the sum of its proper divisors (2084328000).

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

861795648 is a wasteful number, since it uses less digits than its factorization.

861795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9328 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 861795648 is about 29356.3561771552. The cubic root of 861795648 is about 951.6299435012.

The spelling of 861795648 in words is "eight hundred sixty-one million, seven hundred ninety-five thousand, six hundred forty-eight".