14560 has 48 divisors (see below), whose sum is σ = 42336. Its totient is φ = 4608.

The previous prime is 14557. The next prime is 14561. The reversal of 14560 is 6541.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 1126.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

2¹⁴⁵⁶⁰ is an apocalyptic number.

14560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14560 is the 70-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

14560 is an abundant number, since it is smaller than the sum of its proper divisors (27776).

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

14560 is a wasteful number, since it uses less digits than its factorization.

14560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 14560 is about 120.6648250320. The cubic root of 14560 is about 24.4185829949.

The spelling of 14560 in words is "fourteen thousand, five hundred sixty".