8328108960 has 240 divisors, whose sum is σ = 29585716776. Its totient is φ = 2206144512.

The previous prime is 8328108941. The next prime is 8328108961. The reversal of 8328108960 is 698018238.

It can be written as a sum of positive squares in 4 ways, for example, as 5569338384 + 2758770576 = 74628^2 + 52524^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8328108961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2032674 + ... + 2036766.

Almost surely, 2^8328108960 is an apocalyptic number.

8328108960 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 8328108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792858388).

8328108960 is an abundant number, since it is smaller than the sum of its proper divisors (21257607816).

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

8328108960 is a wasteful number, since it uses less digits than its factorization.

8328108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8328108960 is about 91258.4733600119. The cubic root of 8328108960 is about 2026.9769007038.

The spelling of 8328108960 in words is "eight billion, three hundred twenty-eight million, one hundred eight thousand, nine hundred sixty".