8900508960 has 576 divisors, whose sum is σ = 38162275200. Its totient is φ = 1926457344.

The previous prime is 8900508949. The next prime is 8900508961. The reversal of 8900508960 is 698050098.

8900508960 = 372³ + 373³ + ... + 483³.

8900508960 is a `hidden beast` number, since 89 + 0 + 0 + 508 + 9 + 60 = 666.

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 (8900508961) 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 95 ways as a sum of consecutive naturals, for example, 4020814 + ... + 4023026.

It is an arithmetic number, because the mean of its divisors is an integer number (66253950).

Almost surely, 2^8900508960 is an apocalyptic number.

8900508960 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 8900508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081137600).

8900508960 is an abundant number, since it is smaller than the sum of its proper divisors (29261766240).

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

8900508960 is a wasteful number, since it uses less digits than its factorization.

8900508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8900508960 is about 94342.5087646073. The cubic root of 8900508960 is about 2072.3906008199.

The spelling of 8900508960 in words is "eight billion, nine hundred million, five hundred eight thousand, nine hundred sixty".