8946021120 has 288 divisors, whose sum is σ = 30022272000. Its totient is φ = 2265956352.

The previous prime is 8946021079. The next prime is 8946021151. The reversal of 8946021120 is 211206498.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17575426 + ... + 17575934.

It is an arithmetic number, because the mean of its divisors is an integer number (104244000).

Almost surely, 2^8946021120 is an apocalyptic number.

8946021120 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 8946021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011136000).

8946021120 is an abundant number, since it is smaller than the sum of its proper divisors (21076250880).

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

8946021120 is a wasteful number, since it uses less digits than its factorization.

8946021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8946021120 is about 94583.4082701612. The cubic root of 8946021120 is about 2075.9169408522.

The spelling of 8946021120 in words is "eight billion, nine hundred forty-six million, twenty-one thousand, one hundred twenty".