59580 has 36 divisors (see below), whose sum is σ = 181272. Its totient is φ = 15840.

The previous prime is 59567. The next prime is 59581. The reversal of 59580 is 8595.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59581) by changing a digit.

59580 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 11 ways as a sum of consecutive naturals, for example, 15 + ... + 345.

2⁵⁹⁵⁸⁰ 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 59580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90636).

59580 is an abundant number, since it is smaller than the sum of its proper divisors (121692).

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

59580 is a wasteful number, since it uses less digits than its factorization.

59580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 59580 is about 244.0901472817. The cubic root of 59580 is about 39.0571155245.

The spelling of 59580 in words is "fifty-nine thousand, five hundred eighty".