58806 has 36 divisors (see below), whose sum is σ = 145236. Its totient is φ = 17820.

The previous prime is 58789. The next prime is 58831. The reversal of 58806 is 60885.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 58806.

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 58806.

It is an unprimeable number.

58806 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 17 ways as a sum of consecutive naturals, for example, 5341 + ... + 5351.

2⁵⁸⁸⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 242×243.

It is a practical number, because each smaller number is the sum of distinct divisors of 58806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72618).

58806 is an abundant number, since it is smaller than the sum of its proper divisors (86430).

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

58806 is a wasteful number, since it uses less digits than its factorization.

58806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58806 is about 242.4994845355. The cubic root of 58806 is about 38.8872483057.

Adding to 58806 its product of nonzero digits (1920), we get a triangular number (60726 = T₃₄₈).

It can be divided in two parts, 5880 and 6, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 58806 in words is "fifty-eight thousand, eight hundred six".