53580 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 13248.

The previous prime is 53569. The next prime is 53591. The reversal of 53580 is 8535.

It is an interprime number because it is at equal distance from previous prime (53569) and next prime (53591).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 1117 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵³⁵⁸⁰ 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 53580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

53580 is an abundant number, since it is smaller than the sum of its proper divisors (107700).

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

53580 is a wasteful number, since it uses less digits than its factorization.

53580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53580 is about 231.4735406045. The cubic root of 53580 is about 37.6993824757.

The spelling of 53580 in words is "fifty-three thousand, five hundred eighty".