11560 has 24 divisors (see below), whose sum is σ = 27630. Its totient is φ = 4352.

The previous prime is 11551. The next prime is 11579. The reversal of 11560 is 6511.

11560 = T₄₃ + T₄₄ + ... + T₅₂.

11560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11236 + 324 = 106^2 + 18^2 .

11560 is an undulating number in base 13.

11560 is strictly pandigital in base 6.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 11560.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672 + ... + 688.

2¹¹⁵⁶⁰ is an apocalyptic number.

11560 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 11560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815).

11560 is an abundant number, since it is smaller than the sum of its proper divisors (16070).

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

11560 is a wasteful number, since it uses less digits than its factorization.

11560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 11560 is about 107.5174404457. The cubic root of 11560 is about 22.6109743866.

The spelling of 11560 in words is "eleven thousand, five hundred sixty".