11636560 has 80 divisors (see below), whose sum is σ = 29748096. Its totient is φ = 4207104.

The previous prime is 11636539. The next prime is 11636567. The reversal of 11636560 is 6563611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11636567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69597 + ... + 69763.

Almost surely, 2^11636560 is an apocalyptic number.

11636560 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 11636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874048).

11636560 is an abundant number, since it is smaller than the sum of its proper divisors (18111536).

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

11636560 is a wasteful number, since it uses less digits than its factorization.

11636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 11636560 is about 3411.2402436651. The cubic root of 11636560 is about 226.6078086317.

The spelling of 11636560 in words is "eleven million, six hundred thirty-six thousand, five hundred sixty".