9000648 has 48 divisors (see below), whose sum is σ = 24979500. Its totient is φ = 2926080.

The previous prime is 9000637. The next prime is 9000683. The reversal of 9000648 is 8460009.

It can be written as a sum of positive squares in 2 ways, for example, as 6874884 + 2125764 = 2622^2 + 1458^2 .

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, 1428 + ... + 4476.

Almost surely, 2^9000648 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 9000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489750).

9000648 is an abundant number, since it is smaller than the sum of its proper divisors (15978852).

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

9000648 is a wasteful number, since it uses less digits than its factorization.

9000648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9000648 is about 3000.1079980561. The cubic root of 9000648 is about 208.0133743866.

It can be divided in two parts, 9000 and 648, that multiplied together give a cube (5832000 = 180³).

The spelling of 9000648 in words is "nine million, six hundred forty-eight", and thus it is an aban number.