9336960 has 96 divisors (see below), whose sum is σ = 32261580. Its totient is φ = 2488320.

The previous prime is 9336959. The next prime is 9336979. The reversal of 9336960 is 696339.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 46656 = 3048^2 + 216^2 .

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

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

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, 4950 + ... + 6570.

Almost surely, 2^9336960 is an apocalyptic number.

9336960 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 9336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130790).

9336960 is an abundant number, since it is smaller than the sum of its proper divisors (22924620).

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

9336960 is a wasteful number, since it uses less digits than its factorization.

9336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 9336960 is about 3055.6439583171. The cubic root of 9336960 is about 210.5725870224.

It can be divided in two parts, 9336 and 960, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 9336960 in words is "nine million, three hundred thirty-six thousand, nine hundred sixty".