8193848960 has 128 divisors (see below), whose sum is σ = 21548030400. Its totient is φ = 2979271680.

The previous prime is 8193848959. The next prime is 8193848963. The reversal of 8193848960 is 698483918.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8193848896 and 8193848905.

It is not an unprimeable number, because it can be changed into a prime (8193848963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 847031 + ... + 856649.

Almost surely, 2^8193848960 is an apocalyptic number.

8193848960 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 8193848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10774015200).

8193848960 is an abundant number, since it is smaller than the sum of its proper divisors (13354181440).

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

8193848960 is an equidigital number, since it uses as much as digits as its factorization.

8193848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9671 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The square root of 8193848960 is about 90519.8815730555. The cubic root of 8193848960 is about 2016.0253314193.

The spelling of 8193848960 in words is "eight billion, one hundred ninety-three million, eight hundred forty-eight thousand, nine hundred sixty".