11264512 has 60 divisors (see below), whose sum is σ = 26239950. Its totient is φ = 4816896.

The previous prime is 11264497. The next prime is 11264521. The reversal of 11264512 is 21546211.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 2119936 = 3024^2 + 1456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24864 + ... + 25312.

Almost surely, 2^11264512 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 11264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119975).

11264512 is an abundant number, since it is smaller than the sum of its proper divisors (14975438).

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

11264512 is an frugal number, since it uses more digits than its factorization.

11264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 11264512 is about 3356.2645902849. The cubic root of 11264512 is about 224.1665428123.

It can be divided in two parts, 112 and 64512, that multiplied together give a square (7225344 = 2688²).

The spelling of 11264512 in words is "eleven million, two hundred sixty-four thousand, five hundred twelve".