9085680 has 60 divisors (see below), whose sum is σ = 30515160. Its totient is φ = 2422656.

The previous prime is 9085673. The next prime is 9085693. The reversal of 9085680 is 865809.

9085680 is a `hidden beast` number, since 90 + 8 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5590 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (508586).

Almost surely, 2^9085680 is an apocalyptic number.

9085680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9085680 is an abundant number, since it is smaller than the sum of its proper divisors (21429480).

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

9085680 is a wasteful number, since it uses less digits than its factorization.

9085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12638 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9085680 is about 3014.2461744191. The cubic root of 9085680 is about 208.6663785933. Note that the first 3 decimals are identical.

The spelling of 9085680 in words is "nine million, eighty-five thousand, six hundred eighty".