8208600960 has 512 divisors, whose sum is σ = 32550958080. Its totient is φ = 1716387840.

The previous prime is 8208600947. The next prime is 8208600973. The reversal of 8208600960 is 690068028.

It is an interprime number because it is at equal distance from previous prime (8208600947) and next prime (8208600973).

It is a super-2 number, since 2×8208600960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8453275 + ... + 8454245.

It is an arithmetic number, because the mean of its divisors is an integer number (63576090).

Almost surely, 2^8208600960 is an apocalyptic number.

8208600960 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 8208600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275479040).

8208600960 is an abundant number, since it is smaller than the sum of its proper divisors (24342357120).

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

8208600960 is a wasteful number, since it uses less digits than its factorization.

8208600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8208600960 is about 90601.3297915654. The cubic root of 8208600960 is about 2017.2344732079.

Adding to 8208600960 its reverse (690068028), we get a palindrome (8898668988).

The spelling of 8208600960 in words is "eight billion, two hundred eight million, six hundred thousand, nine hundred sixty".