8930856960 has 416 divisors, whose sum is σ = 32837391360. Its totient is φ = 2300313600.

The previous prime is 8930856917. The next prime is 8930856973. The reversal of 8930856960 is 696580398.

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 = 8930856897 and 8930856906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17141500 + ... + 17142020.

Almost surely, 2^8930856960 is an apocalyptic number.

8930856960 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 8930856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418695680).

8930856960 is an abundant number, since it is smaller than the sum of its proper divisors (23906534400).

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

8930856960 is a wasteful number, since it uses less digits than its factorization.

8930856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8930856960 is about 94503.2113740057. The cubic root of 8930856960 is about 2074.7433338117.

The spelling of 8930856960 in words is "eight billion, nine hundred thirty million, eight hundred fifty-six thousand, nine hundred sixty".