9084960 has 120 divisors (see below), whose sum is σ = 32108076. Its totient is φ = 2419200.

The previous prime is 9084941. The next prime is 9084961. The reversal of 9084960 is 694809.

9084960 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 2 ways, for example, as 8928144 + 156816 = 2988^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9084961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12610 + ... + 13310.

Almost surely, 2^9084960 is an apocalyptic number.

9084960 is a gapful number since it is divisible by the number (90) 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 9084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054038).

9084960 is an abundant number, since it is smaller than the sum of its proper divisors (23023116).

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

9084960 is a wasteful number, since it uses less digits than its factorization.

9084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9084960 is about 3014.1267392066. The cubic root of 9084960 is about 208.6608664848.

It can be divided in two parts, 90849 and 60, that added together give a palindrome (90909).

The spelling of 9084960 in words is "nine million, eighty-four thousand, nine hundred sixty".