11643264 has 80 divisors (see below), whose sum is σ = 34681020. Its totient is φ = 3877632.

The previous prime is 11643251. The next prime is 11643293. The reversal of 11643264 is 46234611.

11643264 is a `hidden beast` number, since 11 + 643 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9807 + ... + 10929.

Almost surely, 2^11643264 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 11643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340510).

11643264 is an abundant number, since it is smaller than the sum of its proper divisors (23037756).

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

11643264 is an equidigital number, since it uses as much as digits as its factorization.

11643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1128 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 11643264 is about 3412.2227359890. Note that the first 3 decimals coincide. The cubic root of 11643264 is about 226.6513176842.

Adding to 11643264 its reverse (46234611), we get a palindrome (57877875).

The spelling of 11643264 in words is "eleven million, six hundred forty-three thousand, two hundred sixty-four".