8805004560 has 200 divisors, whose sum is σ = 33361454016. Its totient is φ = 2134529280.

The previous prime is 8805004553. The next prime is 8805004561. The reversal of 8805004560 is 654005088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8805004561) 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 39 ways as a sum of consecutive naturals, for example, 9517 + ... + 133043.

Almost surely, 2^8805004560 is an apocalyptic number.

8805004560 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 8805004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680727008).

8805004560 is an abundant number, since it is smaller than the sum of its proper divisors (24556449456).

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

8805004560 is a wasteful number, since it uses less digits than its factorization.

8805004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123563 (or 123548 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8805004560 is about 93834.9857995407. The cubic root of 8805004560 is about 2064.9515285462.

The spelling of 8805004560 in words is "eight billion, eight hundred five million, four thousand, five hundred sixty".