868589568 has 560 divisors, whose sum is σ = 3425488704. Its totient is φ = 212336640.

The previous prime is 868589539. The next prime is 868589569. The reversal of 868589568 is 865985868.

868589568 is a `hidden beast` number, since 8 + 68 + 5 + 8 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (33177600) is a multiple of the sum of its prime divisors (40).

It is not an unprimeable number, because it can be changed into a prime (868589569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51093496 + ... + 51093512.

Almost surely, 2^868589568 is an apocalyptic number.

868589568 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 868589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712744352).

868589568 is an abundant number, since it is smaller than the sum of its proper divisors (2556899136).

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

868589568 is a wasteful number, since it uses less digits than its factorization.

868589568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The square root of 868589568 is about 29471.8436477937. The cubic root of 868589568 is about 954.1241086905.

The spelling of 868589568 in words is "eight hundred sixty-eight million, five hundred eighty-nine thousand, five hundred sixty-eight".