8984832120 has 256 divisors, whose sum is σ = 32913216000. Its totient is φ = 2162073600.

The previous prime is 8984832107. The next prime is 8984832139. The reversal of 8984832120 is 212384898.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1648600 + ... + 1654040.

It is an arithmetic number, because the mean of its divisors is an integer number (128567250).

Almost surely, 2^8984832120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8984832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456608000).

8984832120 is an abundant number, since it is smaller than the sum of its proper divisors (23928383880).

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

8984832120 is a wasteful number, since it uses less digits than its factorization.

8984832120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8984832120 is about 94788.3543479894. The cubic root of 8984832120 is about 2078.9146303615.

The spelling of 8984832120 in words is "eight billion, nine hundred eighty-four million, eight hundred thirty-two thousand, one hundred twenty".