8946885120 has 480 divisors, whose sum is σ = 31657348800. Its totient is φ = 2152464384.

The previous prime is 8946885119. The next prime is 8946885179. The reversal of 8946885120 is 215886498.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64366011 + ... + 64366149.

It is an arithmetic number, because the mean of its divisors is an integer number (65952810).

Almost surely, 2^8946885120 is an apocalyptic number.

8946885120 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 8946885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828674400).

8946885120 is an abundant number, since it is smaller than the sum of its proper divisors (22710463680).

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

8946885120 is a wasteful number, since it uses less digits than its factorization.

8946885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 8946885120 is about 94587.9755571500. The cubic root of 8946885120 is about 2075.9837688671.

The spelling of 8946885120 in words is "eight billion, nine hundred forty-six million, eight hundred eighty-five thousand, one hundred twenty".