8830848960 has 448 divisors, whose sum is σ = 32367565440. Its totient is φ = 2264924160.

The previous prime is 8830848959. The next prime is 8830848973. The reversal of 8830848960 is 698480388.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8830848897 and 8830848906.

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, 34361152 + ... + 34361408.

It is an arithmetic number, because the mean of its divisors is an integer number (72249030).

Almost surely, 2^8830848960 is an apocalyptic number.

8830848960 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 8830848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183782720).

8830848960 is an abundant number, since it is smaller than the sum of its proper divisors (23536716480).

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

8830848960 is a wasteful number, since it uses less digits than its factorization.

8830848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8830848960 is about 93972.5968567433. The cubic root of 8830848960 is about 2066.9698997767.

The spelling of 8830848960 in words is "eight billion, eight hundred thirty million, eight hundred forty-eight thousand, nine hundred sixty".