11588560 has 40 divisors (see below), whose sum is σ = 28531656. Its totient is φ = 4362240.

The previous prime is 11588557. The next prime is 11588561. The reversal of 11588560 is 6588511.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 9290304 = 1516^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11588561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2901 + ... + 5620.

Almost surely, 2^11588560 is an apocalyptic number.

11588560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11588560 is an abundant number, since it is smaller than the sum of its proper divisors (16943096).

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

11588560 is a wasteful number, since it uses less digits than its factorization.

11588560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 11588560 is about 3404.1974090819. The cubic root of 11588560 is about 226.2957987523.

The spelling of 11588560 in words is "eleven million, five hundred eighty-eight thousand, five hundred sixty".