9231264 has 144 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 2488320.

The previous prime is 9231253. The next prime is 9231281. The reversal of 9231264 is 4621329.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38184 + ... + 38424.

It is an arithmetic number, because the mean of its divisors is an integer number (220220).

Almost surely, 2^9231264 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 9231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

9231264 is an abundant number, since it is smaller than the sum of its proper divisors (22480416).

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

9231264 is a wasteful number, since it uses less digits than its factorization.

9231264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 9231264 is about 3038.2995244051. The cubic root of 9231264 is about 209.7749971037.

It can be divided in two parts, 923 and 1264, that added together give a 7-th power (2187 = 3⁷).

The spelling of 9231264 in words is "nine million, two hundred thirty-one thousand, two hundred sixty-four".