59808 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 16896.

The previous prime is 59797. The next prime is 59809. The reversal of 59808 is 80895.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (59809) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 628 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵⁹⁸⁰⁸ 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 59808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

59808 is an abundant number, since it is smaller than the sum of its proper divisors (121632).

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

59808 is a wasteful number, since it uses less digits than its factorization.

59808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 59808 is about 244.5567418821. The cubic root of 59808 is about 39.1068732017.

The spelling of 59808 in words is "fifty-nine thousand, eight hundred eight".