52680 has 32 divisors (see below), whose sum is σ = 158400. Its totient is φ = 14016.

The previous prime is 52673. The next prime is 52691. The reversal of 52680 is 8625.

It is a happy number.

52680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

52680 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, 100 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2⁵²⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

52680 is an abundant number, since it is smaller than the sum of its proper divisors (105720).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

52680 is a wasteful number, since it uses less digits than its factorization.

52680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52680 is about 229.5212408471. The cubic root of 52680 is about 37.4871066786.

It can be divided in two parts, 526 and 80, that added together give a palindrome (606).

The spelling of 52680 in words is "fifty-two thousand, six hundred eighty".