59820 has 24 divisors (see below), whose sum is σ = 167664. Its totient is φ = 15936.

The previous prime is 59809. The next prime is 59833. The reversal of 59820 is 2895.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59820.

It is an unprimeable number.

59820 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, 439 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (6986).

2⁵⁹⁸²⁰ is an apocalyptic number.

It is an amenable number.

59820 is an abundant number, since it is smaller than the sum of its proper divisors (107844).

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 (83832).

59820 is a wasteful number, since it uses less digits than its factorization.

59820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 59820 is about 244.5812748352. The cubic root of 59820 is about 39.1094885212.

The spelling of 59820 in words is "fifty-nine thousand, eight hundred twenty".