58808 has 8 divisors (see below), whose sum is σ = 110280. Its totient is φ = 29400.

The previous prime is 58789. The next prime is 58831. The reversal of 58808 is 80885.

58808 = T₁₃₇ + T₁₃₈ + ... + T₁₄₂.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

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 58808.

It is an unprimeable number.

58808 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 as a sum of consecutive naturals, namely, 3668 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (13785).

2⁵⁸⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

58808 is a deficient number, since it is larger than the sum of its proper divisors (51472).

58808 is a wasteful number, since it uses less digits than its factorization.

58808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 58808 is about 242.5036082206. The cubic root of 58808 is about 38.8876891542.

It can be divided in two parts, 58 and 808, that multiplied together give a palindrome (46864).

The spelling of 58808 in words is "fifty-eight thousand, eight hundred eight".