868588560 has 480 divisors, whose sum is σ = 3565486080. Its totient is φ = 185213952.

The previous prime is 868588507. The next prime is 868588561. The reversal of 868588560 is 65885868.

868588560 is a `hidden beast` number, since 8 + 6 + 8 + 588 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 868588497 and 868588506.

It is not an unprimeable number, because it can be changed into a prime (868588561) 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 95 ways as a sum of consecutive naturals, for example, 6839217 + ... + 6839343.

It is an arithmetic number, because the mean of its divisors is an integer number (7428096).

Almost surely, 2^868588560 is an apocalyptic number.

868588560 is a gapful number since it is divisible by the number (80) 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 868588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782743040).

868588560 is an abundant number, since it is smaller than the sum of its proper divisors (2696897520).

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

868588560 is a wasteful number, since it uses less digits than its factorization.

868588560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The square root of 868588560 is about 29471.8265467209. The cubic root of 868588560 is about 954.1237396027.

The spelling of 868588560 in words is "eight hundred sixty-eight million, five hundred eighty-eight thousand, five hundred sixty".