11585560 has 96 divisors (see below), whose sum is σ = 31764960. Its totient is φ = 3784704.

The previous prime is 11585557. The next prime is 11585569. The reversal of 11585560 is 6558511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11585569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44952 + ... + 45208.

It is an arithmetic number, because the mean of its divisors is an integer number (330885).

Almost surely, 2^11585560 is an apocalyptic number.

11585560 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 11585560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882480).

11585560 is an abundant number, since it is smaller than the sum of its proper divisors (20179400).

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

11585560 is a wasteful number, since it uses less digits than its factorization.

11585560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The square root of 11585560 is about 3403.7567480653. The cubic root of 11585560 is about 226.2762695503.

The spelling of 11585560 in words is "eleven million, five hundred eighty-five thousand, five hundred sixty".