13560 has 32 divisors (see below), whose sum is σ = 41040. Its totient is φ = 3584.

The previous prime is 13553. The next prime is 13567. The reversal of 13560 is 6531.

13560 = T₄₇ + T₄₈ + ... + T₅₆.

It is an interprime number because it is at equal distance from previous prime (13553) and next prime (13567).

It is a hoax number, since the sum of its digits (15) 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 (15).

13560 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13567) by changing a digit.

13560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 176.

2¹³⁵⁶⁰ is an apocalyptic number.

13560 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 13560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520).

13560 is an abundant number, since it is smaller than the sum of its proper divisors (27480).

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

13560 is a wasteful number, since it uses less digits than its factorization.

13560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13560 is about 116.4474130241. The cubic root of 13560 is about 23.8462392270.

It can be divided in two parts, 135 and 60, that multiplied together give a square (8100 = 90²).

The spelling of 13560 in words is "thirteen thousand, five hundred sixty".