9085664 has 48 divisors (see below), whose sum is σ = 20901888. Its totient is φ = 3806592.

The previous prime is 9085663. The next prime is 9085673. The reversal of 9085664 is 4665809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9085663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10097 + ... + 10959.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^9085664 is an apocalyptic number.

9085664 is a gapful number since it is divisible by the number (94) 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 9085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

9085664 is an abundant number, since it is smaller than the sum of its proper divisors (11816224).

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

9085664 is a wasteful number, since it uses less digits than its factorization.

9085664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 9085664 is about 3014.2435203547. The cubic root of 9085664 is about 208.6662561051. Note that the first 3 decimals are identical.

The spelling of 9085664 in words is "nine million, eighty-five thousand, six hundred sixty-four".