9000960 has 96 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 2392064.

The previous prime is 9000931. The next prime is 9000961. The reversal of 9000960 is 690009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 9000960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000961) 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, 30574 + ... + 30866.

Almost surely, 2^9000960 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 9000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

9000960 is an abundant number, since it is smaller than the sum of its proper divisors (19893360).

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

9000960 is a wasteful number, since it uses less digits than its factorization.

9000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 9000960 is about 3000.1599957336. The cubic root of 9000960 is about 208.0157778958.

Adding to 9000960 its reverse (690009), we get a palindrome (9690969).

The spelling of 9000960 in words is "nine million, nine hundred sixty", and thus it is an aban number.