11580560 has 20 divisors (see below), whose sum is σ = 26924988. Its totient is φ = 4632192.

The previous prime is 11580551. The next prime is 11580563. The reversal of 11580560 is 6508511.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 5973136 = 2368^2 + 2444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (11580563) 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, 72299 + ... + 72458.

Almost surely, 2^11580560 is an apocalyptic number.

11580560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11580560 is an abundant number, since it is smaller than the sum of its proper divisors (15344428).

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

11580560 is a wasteful number, since it uses less digits than its factorization.

11580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144770 (or 144764 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 11580560 is about 3403.0221862339. The cubic root of 11580560 is about 226.2437133872.

The spelling of 11580560 in words is "eleven million, five hundred eighty thousand, five hundred sixty".