578920 has 32 divisors (see below), whose sum is σ = 1338120. Its totient is φ = 225280.

The previous prime is 578917. The next prime is 578923. The reversal of 578920 is 29875.

It is an interprime number because it is at equal distance from previous prime (578917) and next prime (578923).

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 293764 = 534^2 + 542^2 .

It is not an unprimeable number, because it can be changed into a prime (578923) 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, 1464 + ... + 1816.

2⁵⁷⁸⁹²⁰ 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 578920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669060).

578920 is an abundant number, since it is smaller than the sum of its proper divisors (759200).

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

578920 is a wasteful number, since it uses less digits than its factorization.

578920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 578920 is about 760.8679254641. The cubic root of 578920 is about 83.3437142623.

The spelling of 578920 in words is "five hundred seventy-eight thousand, nine hundred twenty".