11775264 has 48 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 3753728.

The previous prime is 11775263. The next prime is 11775301. The reversal of 11775264 is 46257711.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11775263) 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 7 ways as a sum of consecutive naturals, for example, 459 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 2^11775264 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 11775264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

11775264 is an abundant number, since it is smaller than the sum of its proper divisors (20484768).

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

11775264 is a wasteful number, since it uses less digits than its factorization.

11775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5361 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 11775264 is about 3431.5104545958. The cubic root of 11775264 is about 227.5046185111.

It can be divided in two parts, 1177 and 5264, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 11775264 in words is "eleven million, seven hundred seventy-five thousand, two hundred sixty-four".