968486568 has 80 divisors (see below), whose sum is σ = 2824752480. Its totient is φ = 276710448.

The previous prime is 968486567. The next prime is 968486573. The reversal of 968486568 is 865684869.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=686.

Its product of digits (19906560) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (968486567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138355221 + ... + 138355227.

It is an arithmetic number, because the mean of its divisors is an integer number (35309406).

Almost surely, 2^968486568 is an apocalyptic number.

968486568 is a gapful number since it is divisible by the number (98) 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 968486568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412376240).

968486568 is an abundant number, since it is smaller than the sum of its proper divisors (1856265912).

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

968486568 is an frugal number, since it uses more digits than its factorization.

968486568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 12 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The square root of 968486568 is about 31120.5168337545. The cubic root of 968486568 is about 989.3832052309.

The spelling of 968486568 in words is "nine hundred sixty-eight million, four hundred eighty-six thousand, five hundred sixty-eight".