11520560 has 80 divisors (see below), whose sum is σ = 29167776. Its totient is φ = 4214784.

The previous prime is 11520559. The next prime is 11520563. The reversal of 11520560 is 6502511.

11520560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11520563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58382 + ... + 58578.

Almost surely, 2^11520560 is an apocalyptic number.

11520560 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 11520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888).

11520560 is an abundant number, since it is smaller than the sum of its proper divisors (17647216).

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

11520560 is a wasteful number, since it uses less digits than its factorization.

11520560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 11520560 is about 3394.1950444840. The cubic root of 11520560 is about 225.8523064567.

The spelling of 11520560 in words is "eleven million, five hundred twenty thousand, five hundred sixty".