11264976 has 30 divisors (see below), whose sum is σ = 31526690. Its totient is φ = 3754944.

The previous prime is 11264969. The next prime is 11264987. The reversal of 11264976 is 67946211.

11264976 is a `hidden beast` number, since 1 + 1 + 2 + 649 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 767376 = 3240^2 + 876^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11264976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38971 + ... + 39258.

Almost surely, 2^11264976 is an apocalyptic number.

11264976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11264976 is an abundant number, since it is smaller than the sum of its proper divisors (20261714).

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

11264976 is a wasteful number, since it uses less digits than its factorization.

11264976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78243 (or 78234 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11264976 is about 3356.3337140398. Note that the first 3 decimals coincide. The cubic root of 11264976 is about 224.1696206745.

The spelling of 11264976 in words is "eleven million, two hundred sixty-four thousand, nine hundred seventy-six".