861461568 has 140 divisors (see below), whose sum is σ = 2785975632. Its totient is φ = 261031680.

The previous prime is 861461563. The next prime is 861461591. The reversal of 861461568 is 865164168.

861461568 is a `hidden beast` number, since 86 + 1 + 4 + 6 + 1 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (861461563) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 49471 + ... + 64577.

Almost surely, 2^861461568 is an apocalyptic number.

861461568 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 861461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392987816).

861461568 is an abundant number, since it is smaller than the sum of its proper divisors (1924514064).

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

861461568 is a wasteful number, since it uses less digits than its factorization.

861461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142 (or 15123 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 861461568 is about 29350.6655461167. The cubic root of 861461568 is about 951.5069593490.

The spelling of 861461568 in words is "eight hundred sixty-one million, four hundred sixty-one thousand, five hundred sixty-eight".