9264000 has 128 divisors (see below), whose sum is σ = 30869280. Its totient is φ = 2457600.

The previous prime is 9263999. The next prime is 9264007. The reversal of 9264000 is 4629.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9264007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47904 + ... + 48096.

Almost surely, 2^9264000 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 9264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434640).

9264000 is an abundant number, since it is smaller than the sum of its proper divisors (21605280).

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

9264000 is a wasteful number, since it uses less digits than its factorization.

9264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 9264000 is about 3043.6819807595. The cubic root of 9264000 is about 210.0226732889.

Adding to 9264000 its reverse (4629), we get a palindrome (9268629).

The spelling of 9264000 in words is "nine million, two hundred sixty-four thousand".