9085685760 has 260 divisors, whose sum is σ = 32575836348. Its totient is φ = 2422407168.

The previous prime is 9085685743. The next prime is 9085685771. The reversal of 9085685760 is 675865809.

9085685760 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 68 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 1916338176 = 84672^2 + 43776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9085685697 and 9085685706.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1656142 + ... + 1661618.

Almost surely, 2^9085685760 is an apocalyptic number.

9085685760 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 9085685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287918174).

9085685760 is an abundant number, since it is smaller than the sum of its proper divisors (23490150588).

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

9085685760 is an equidigital number, since it uses as much as digits as its factorization.

9085685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 9085685760 is about 95318.8636105152. The cubic root of 9085685760 is about 2086.6642268898.

The spelling of 9085685760 in words is "nine billion, eighty-five million, six hundred eighty-five thousand, seven hundred sixty".