32560 has 40 divisors (see below), whose sum is σ = 84816. Its totient is φ = 11520.

The previous prime is 32537. The next prime is 32561. The reversal of 32560 is 6523.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an Ulam number.

It is a plaindrome in base 15.

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 (32561) by changing a digit.

32560 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, 862 + ... + 898.

2³²⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408).

32560 is an abundant number, since it is smaller than the sum of its proper divisors (52256).

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

32560 is a wasteful number, since it uses less digits than its factorization.

32560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 32560 is about 180.4438970982. The cubic root of 32560 is about 31.9321478962.

The spelling of 32560 in words is "thirty-two thousand, five hundred sixty".