11477264 has 20 divisors (see below), whose sum is σ = 22444620. Its totient is φ = 5685120.

The previous prime is 11477239. The next prime is 11477267. The reversal of 11477264 is 46277411.

It can be written as a sum of positive squares in 2 ways, for example, as 5326864 + 6150400 = 2308^2 + 2480^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11477264.

It is not an unprimeable number, because it can be changed into a prime (11477267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1547 + ... + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (1122231).

Almost surely, 2^11477264 is an apocalyptic number.

It is an amenable number.

11477264 is a deficient number, since it is larger than the sum of its proper divisors (10967356).

11477264 is a wasteful number, since it uses less digits than its factorization.

11477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 6692 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 11477264 is about 3387.8110927264. The cubic root of 11477264 is about 225.5690222878.

The spelling of 11477264 in words is "eleven million, four hundred seventy-seven thousand, two hundred sixty-four".