9108960 has 96 divisors (see below), whose sum is σ = 32804352. Its totient is φ = 2081280.

The previous prime is 9108941. The next prime is 9108973. The reversal of 9108960 is 698019.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (341712).

Almost surely, 2^9108960 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 9108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402176).

9108960 is an abundant number, since it is smaller than the sum of its proper divisors (23695392).

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

9108960 is a wasteful number, since it uses less digits than its factorization.

9108960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 9108960 is about 3018.1053659539. The cubic root of 9108960 is about 208.8444467263.

It can be divided in two parts, 910 and 8960, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 9108960 in words is "nine million, one hundred eight thousand, nine hundred sixty".