11265584 has 60 divisors (see below), whose sum is σ = 25097352. Its totient is φ = 4898080.

The previous prime is 11265563. The next prime is 11265593. The reversal of 11265584 is 48556211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11265584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11265584² = 253826765722112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11265584.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489797 + ... + 489819.

Almost surely, 2^11265584 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 11265584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548676).

11265584 is an abundant number, since it is smaller than the sum of its proper divisors (13831768).

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

11265584 is an equidigital number, since it uses as much as digits as its factorization.

11265584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 11265584 is about 3356.4242878397. The cubic root of 11265584 is about 224.1736536074.

Multiplying 11265584 by its reverse (48556211), we get a square (547014073742224 = 23388332²).

The spelling of 11265584 in words is "eleven million, two hundred sixty-five thousand, five hundred eighty-four".