9264960 has 84 divisors (see below), whose sum is σ = 31877508. Its totient is φ = 2469888.

The previous prime is 9264919. The next prime is 9264967. The reversal of 9264960 is 694629.

9264960 is a `hidden beast` number, since 9 + 2 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 3154176 = 2472^2 + 1776^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9264967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 4488.

Almost surely, 2^9264960 is an apocalyptic number.

9264960 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 9264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938754).

9264960 is an abundant number, since it is smaller than the sum of its proper divisors (22612548).

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

9264960 is a wasteful number, since it uses less digits than its factorization.

9264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9264960 is about 3043.8396804037. The cubic root of 9264960 is about 210.0299277075.

It can be divided in two parts, 926 and 4960, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 9264960 in words is "nine million, two hundred sixty-four thousand, nine hundred sixty".