9000768 has 112 divisors (see below), whose sum is σ = 28106624. Its totient is φ = 2488320.

The previous prime is 9000767. The next prime is 9000773. The reversal of 9000768 is 8670009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49638 + ... + 49818.

It is an arithmetic number, because the mean of its divisors is an integer number (250952).

Almost surely, 2^9000768 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 9000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053312).

9000768 is an abundant number, since it is smaller than the sum of its proper divisors (19105856).

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

9000768 is a wasteful number, since it uses less digits than its factorization.

9000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 9000768 is about 3000.1279972694. The cubic root of 9000768 is about 208.0142988198.

The spelling of 9000768 in words is "nine million, seven hundred sixty-eight", and thus it is an aban number.