11218560 has 64 divisors (see below), whose sum is σ = 35765280. Its totient is φ = 2991104.

The previous prime is 11218517. The next prime is 11218573. The reversal of 11218560 is 6581211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11218560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 4841.

Almost surely, 2^11218560 is an apocalyptic number.

11218560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882640).

11218560 is an abundant number, since it is smaller than the sum of its proper divisors (24546720).

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

11218560 is an equidigital number, since it uses as much as digits as its factorization.

11218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11218560 is about 3349.4118886754. The cubic root of 11218560 is about 223.8613087038.

Adding to 11218560 its reverse (6581211), we get a palindrome (17799771).

The spelling of 11218560 in words is "eleven million, two hundred eighteen thousand, five hundred sixty".