578864 has 60 divisors (see below), whose sum is σ = 1385328. Its totient is φ = 232320.

The previous prime is 578861. The next prime is 578881. The reversal of 578864 is 468875.

It is a d-powerful number, because it can be written as 5⁶ + 7⁵ + 8⁴ + 8⁶ + 6⁷ + 4⁴ .

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 578864.

It is not an unprimeable number, because it can be changed into a prime (578861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25157 + ... + 25179.

2⁵⁷⁸⁸⁶⁴ 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 578864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664).

578864 is an abundant number, since it is smaller than the sum of its proper divisors (806464).

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

578864 is a wasteful number, since it uses less digits than its factorization.

578864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 578864 is about 760.8311244948. The cubic root of 578864 is about 83.3410268453.

The spelling of 578864 in words is "five hundred seventy-eight thousand, eight hundred sixty-four".