13536560 has 40 divisors (see below), whose sum is σ = 32247936. Its totient is φ = 5281280.

The previous prime is 13536541. The next prime is 13536563. The reversal of 13536560 is 6563531.

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 (13536563) 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 7 ways as a sum of consecutive naturals, for example, 1217 + ... + 5343.

Almost surely, 2^13536560 is an apocalyptic number.

13536560 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 13536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123968).

13536560 is an abundant number, since it is smaller than the sum of its proper divisors (18711376).

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

13536560 is a wasteful number, since it uses less digits than its factorization.

13536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 13536560 is about 3679.2064361761. The cubic root of 13536560 is about 238.3249099125.

The spelling of 13536560 in words is "thirteen million, five hundred thirty-six thousand, five hundred sixty".