9008505360 has 240 divisors, whose sum is σ = 32160928176. Its totient is φ = 2251948032.

The previous prime is 9008505293. The next prime is 9008505361. The reversal of 9008505360 is 635058009.

9008505360 is a `hidden beast` number, since 90 + 0 + 8 + 505 + 3 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5531904 + 9002973456 = 2352^2 + 94884^2 .

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

It is a super-2 number, since 2×9008505360² (a number of 21 digits) contains 22 as substring.

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 (9008505361) 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 47 ways as a sum of consecutive naturals, for example, 3389152 + ... + 3391808.

Almost surely, 2^9008505360 is an apocalyptic number.

9008505360 is a gapful number since it is divisible by the number (90) 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 9008505360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080464088).

9008505360 is an abundant number, since it is smaller than the sum of its proper divisors (23152422816).

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

9008505360 is a wasteful number, since it uses less digits than its factorization.

9008505360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9008505360 is about 94913.1464023820. The cubic root of 9008505360 is about 2080.7388708851.

The spelling of 9008505360 in words is "nine billion, eight million, five hundred five thousand, three hundred sixty".