18560 has 32 divisors (see below), whose sum is σ = 45900. Its totient is φ = 7168.

The previous prime is 18553. The next prime is 18583. The reversal of 18560 is 6581.

18560 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 64 = 136^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

18560 is an undulating number in base 12.

It is a nialpdrome in base 8.

It is an unprimeable number.

18560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626 + ... + 654.

2¹⁸⁵⁶⁰ is an apocalyptic number.

18560 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 18560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950).

18560 is an abundant number, since it is smaller than the sum of its proper divisors (27340).

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

18560 is an equidigital number, since it uses as much as digits as its factorization.

18560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 18560 is about 136.2350909274. The cubic root of 18560 is about 26.4764237921.

The spelling of 18560 in words is "eighteen thousand, five hundred sixty".