52560 has 60 divisors (see below), whose sum is σ = 178932. Its totient is φ = 13824.

The previous prime is 52553. The next prime is 52561. The reversal of 52560 is 6525.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 28224 = 156^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52560.

It is not an unprimeable number, because it can be changed into a prime (52561) by changing a digit.

52560 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684 + ... + 756.

2⁵²⁵⁶⁰ 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 52560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89466).

52560 is an abundant number, since it is smaller than the sum of its proper divisors (126372).

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

52560 is a wasteful number, since it uses less digits than its factorization.

52560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52560 is about 229.2596780945. The cubic root of 52560 is about 37.4586210243.

It can be divided in two parts, 525 and 60, that added together give a palindrome (585).

The spelling of 52560 in words is "fifty-two thousand, five hundred sixty".