578838 has 32 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 172800.

The previous prime is 578827. The next prime is 578839. The reversal of 578838 is 838875.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (53760) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 578796 and 578805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578839) by changing a digit.

578838 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 15 ways as a sum of consecutive naturals, for example, 3108 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2⁵⁷⁸⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

578838 is an abundant number, since it is smaller than the sum of its proper divisors (705354).

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

578838 is a wasteful number, since it uses less digits than its factorization.

578838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 53760, while the sum is 39.

The square root of 578838 is about 760.8140377254. The cubic root of 578838 is about 83.3397790570.

The spelling of 578838 in words is "five hundred seventy-eight thousand, eight hundred thirty-eight".