11563520 has 40 divisors (see below), whose sum is σ = 27731484. Its totient is φ = 4624384.

The previous prime is 11563507. The next prime is 11563523. The reversal of 11563520 is 2536511.

It can be written as a sum of positive squares in 2 ways, for example, as 9535744 + 2027776 = 3088^2 + 1424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11563523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 4818.

Almost surely, 2^11563520 is an apocalyptic number.

11563520 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 11563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865742).

11563520 is an abundant number, since it is smaller than the sum of its proper divisors (16167964).

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

11563520 is an frugal number, since it uses more digits than its factorization.

11563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 11563520 is about 3400.5176076592. The cubic root of 11563520 is about 226.1326915452.

The spelling of 11563520 in words is "eleven million, five hundred sixty-three thousand, five hundred twenty".