9085648 has 90 divisors (see below), whose sum is σ = 21992082. Its totient is φ = 3611520.

The previous prime is 9085627. The next prime is 9085649. The reversal of 9085648 is 8465809.

9085648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 2795584 = 2508^2 + 1672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9085648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9085649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 478183 + ... + 478201.

Almost surely, 2^9085648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9085648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996041).

9085648 is an abundant number, since it is smaller than the sum of its proper divisors (12906434).

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

9085648 is a wasteful number, since it uses less digits than its factorization.

9085648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 9085648 is about 3014.2408662879. The cubic root of 9085648 is about 208.6661336169. Note that the first 3 decimals are identical.

It can be divided in two parts, 908 and 5648, that added together give a palindrome (6556).

The spelling of 9085648 in words is "nine million, eighty-five thousand, six hundred forty-eight".