8517248960 has 112 divisors (see below), whose sum is σ = 22888712160. Its totient is φ = 2990346240.

The previous prime is 8517248941. The next prime is 8517248981. The reversal of 8517248960 is 698427158.

It is a junction number, because it is equal to n+sod(n) for n = 8517248899 and 8517248908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60362 + ... + 143798.

Almost surely, 2^8517248960 is an apocalyptic number.

8517248960 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 8517248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11444356080).

8517248960 is an abundant number, since it is smaller than the sum of its proper divisors (14371463200).

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

8517248960 is a wasteful number, since it uses less digits than its factorization.

8517248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83494 (or 83484 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 8517248960 is about 92288.9427829792. The cubic root of 8517248960 is about 2042.2070947946.

The spelling of 8517248960 in words is "eight billion, five hundred seventeen million, two hundred forty-eight thousand, nine hundred sixty".