8789124960 has 576 divisors, whose sum is σ = 38615076864. Its totient is φ = 1766707200.

The previous prime is 8789124931. The next prime is 8789124977. The reversal of 8789124960 is 694219878.

It is a junction number, because it is equal to n+sod(n) for n = 8789124897 and 8789124906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3436002 + ... + 3438558.

It is an arithmetic number, because the mean of its divisors is an integer number (67040064).

Almost surely, 2^8789124960 is an apocalyptic number.

8789124960 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 8789124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307538432).

8789124960 is an abundant number, since it is smaller than the sum of its proper divisors (29825951904).

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

8789124960 is a wasteful number, since it uses less digits than its factorization.

8789124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 8789124960 is about 93750.3331194082. Note that the first 3 decimals coincide. The cubic root of 8789124960 is about 2063.7094191609.

The spelling of 8789124960 in words is "eight billion, seven hundred eighty-nine million, one hundred twenty-four thousand, nine hundred sixty".