8873148960 has 648 divisors, whose sum is σ = 34947119844. Its totient is φ = 2048716800.

The previous prime is 8873148917. The next prime is 8873148971. The reversal of 8873148960 is 698413788.

It can be written as a sum of positive squares in 6 ways, for example, as 2969378064 + 5903770896 = 54492^2 + 76836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8873148897 and 8873148906.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87852910 + ... + 87853010.

Almost surely, 2^8873148960 is an apocalyptic number.

8873148960 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 8873148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17473559922).

8873148960 is an abundant number, since it is smaller than the sum of its proper divisors (26073970884).

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

8873148960 is a wasteful number, since it uses less digits than its factorization.

8873148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 8873148960 is about 94197.3935945151. The cubic root of 8873148960 is about 2070.2649244349.

The spelling of 8873148960 in words is "eight billion, eight hundred seventy-three million, one hundred forty-eight thousand, nine hundred sixty".