578368 has 28 divisors (see below), whose sum is σ = 1312672. Its totient is φ = 247680.

The previous prime is 578363. The next prime is 578371. The reversal of 578368 is 863875.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578363) by changing a digit.

578368 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 3 ways as a sum of consecutive naturals, for example, 198 + ... + 1093.

2⁵⁷⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

578368 is an abundant number, since it is smaller than the sum of its proper divisors (734304).

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

578368 is a wasteful number, since it uses less digits than its factorization.

578368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 578368 is about 760.5050953149. The cubic root of 578368 is about 83.3172164387.

It can be divided in two parts, 578 and 368, that added together give a triangular number (946 = T₄₃).

The spelling of 578368 in words is "five hundred seventy-eight thousand, three hundred sixty-eight".