9085305600 has 1296 divisors, whose sum is σ = 41173927200. Its totient is φ = 1950842880.

The previous prime is 9085305577. The next prime is 9085305641. The reversal of 9085305600 is 65035809.

9085305600 is a `hidden beast` number, since 90 + 8 + 5 + 3 + 0 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 245548782 + ... + 245548818.

Almost surely, 2^9085305600 is an apocalyptic number.

9085305600 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 9085305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586963600).

9085305600 is an abundant number, since it is smaller than the sum of its proper divisors (32088621600).

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

9085305600 is a wasteful number, since it uses less digits than its factorization.

9085305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

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

The square root of 9085305600 is about 95316.8694408288. The cubic root of 9085305600 is about 2086.6351233322.

The spelling of 9085305600 in words is "nine billion, eighty-five million, three hundred five thousand, six hundred".