8930616120 has 320 divisors, whose sum is σ = 32884315200. Its totient is φ = 2163732480.

The previous prime is 8930616119. The next prime is 8930616139. The reversal of 8930616120 is 216160398.

8930616120 is a `hidden beast` number, since 8 + 9 + 30 + 6 + 1 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1594525 + ... + 1600115.

It is an arithmetic number, because the mean of its divisors is an integer number (102763485).

Almost surely, 2^8930616120 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 8930616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442157600).

8930616120 is an abundant number, since it is smaller than the sum of its proper divisors (23953699080).

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

8930616120 is a wasteful number, since it uses less digits than its factorization.

8930616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8930616120 is about 94501.9371230029. The cubic root of 8930616120 is about 2074.7246836539.

The spelling of 8930616120 in words is "eight billion, nine hundred thirty million, six hundred sixteen thousand, one hundred twenty".