578032 has 40 divisors (see below), whose sum is σ = 1381856. Its totient is φ = 228096.

The previous prime is 578029. The next prime is 578041. The reversal of 578032 is 230875.

It is a junction number, because it is equal to n+sod(n) for n = 577988 and 578006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258 + ... + 1654.

2⁵⁷⁸⁰³² is an apocalyptic number.

578032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690928).

578032 is an abundant number, since it is smaller than the sum of its proper divisors (803824).

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

578032 is a wasteful number, since it uses less digits than its factorization.

578032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 578032 is about 760.2841574043. The cubic root of 578032 is about 83.3010790731.

The spelling of 578032 in words is "five hundred seventy-eight thousand, thirty-two".