52260 has 48 divisors (see below), whose sum is σ = 159936. Its totient is φ = 12672.

The previous prime is 52259. The next prime is 52267. The reversal of 52260 is 6225.

It is a super-2 number, since 2×52260² = 5462215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 52260.

It is not an unprimeable number, because it can be changed into a prime (52267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (3332).

2⁵²²⁶⁰ 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 52260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968).

52260 is an abundant number, since it is smaller than the sum of its proper divisors (107676).

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

52260 is a wasteful number, since it uses less digits than its factorization.

52260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52260 is about 228.6044618987. The cubic root of 52260 is about 37.3872166936.

Adding to 52260 its reverse (6225), we get a palindrome (58485).

The spelling of 52260 in words is "fifty-two thousand, two hundred sixty".