58578 has 16 divisors (see below), whose sum is σ = 126336. Its totient is φ = 18000.

The previous prime is 58573. The next prime is 58579. The reversal of 58578 is 87585.

58578 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (7896).

2⁵⁸⁵⁷⁸ is an apocalyptic number.

58578 is an abundant number, since it is smaller than the sum of its proper divisors (67758).

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 (63168).

58578 is a wasteful number, since it uses less digits than its factorization.

58578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769.

The product of its digits is 11200, while the sum is 33.

The square root of 58578 is about 242.0289238913. The cubic root of 58578 is about 38.8369259122.

It can be divided in two parts, 58 and 578, that added together give a palindrome (636).

The spelling of 58578 in words is "fifty-eight thousand, five hundred seventy-eight".