578608 has 30 divisors (see below), whose sum is σ = 1188044. Its totient is φ = 272832.

The previous prime is 578603. The next prime is 578609. The reversal of 578608 is 806875.

It is a super-4 number, since 4×578608⁴ (a number of 24 digits) contains 4444 as substring.

It is a d-powerful number, because it can be written as 5⁶ + 7⁵ + 6⁷ + 8⁴ + 0 + 8⁶ .

It is not an unprimeable number, because it can be changed into a prime (578603) by changing a digit.

578608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13435 + ... + 13477.

2⁵⁷⁸⁶⁰⁸ is an apocalyptic number.

578608 is a gapful number since it is divisible by the number (58) 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 578608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594022).

578608 is an abundant number, since it is smaller than the sum of its proper divisors (609436).

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

578608 is a wasteful number, since it uses less digits than its factorization.

578608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 578608 is about 760.6628688190. The cubic root of 578608 is about 83.3287393023.

The spelling of 578608 in words is "five hundred seventy-eight thousand, six hundred eight".