11530560 has 56 divisors (see below), whose sum is σ = 36612576. Its totient is φ = 3074560.

The previous prime is 11530559. The next prime is 11530577. The reversal of 11530560 is 6503511.

It is a happy number.

11530560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5046 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (653796).

Almost surely, 2^11530560 is an apocalyptic number.

11530560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11530560 is an abundant number, since it is smaller than the sum of its proper divisors (25082016).

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

11530560 is a wasteful number, since it uses less digits than its factorization.

11530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12031 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 11530560 is about 3395.6678282777. The cubic root of 11530560 is about 225.9176351648.

It can be divided in two parts, 11530 and 560, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11530560 in words is "eleven million, five hundred thirty thousand, five hundred sixty".