11536560 has 240 divisors, whose sum is σ = 46648800. Its totient is φ = 2612736.

The previous prime is 11536549. The next prime is 11536589. The reversal of 11536560 is 6563511.

It is a happy number.

11536560 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 105786 + ... + 105894.

It is an arithmetic number, because the mean of its divisors is an integer number (194370).

Almost surely, 2^11536560 is an apocalyptic number.

11536560 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 11536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324400).

11536560 is an abundant number, since it is smaller than the sum of its proper divisors (35112240).

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

11536560 is a wasteful number, since it uses less digits than its factorization.

11536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 11536560 is about 3396.5511920182. The cubic root of 11536560 is about 225.9568142611.

The spelling of 11536560 in words is "eleven million, five hundred thirty-six thousand, five hundred sixty".