578688 has 64 divisors (see below), whose sum is σ = 1689120. Its totient is φ = 174080.

The previous prime is 578687. The next prime is 578689. The reversal of 578688 is 886875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (578687) and next prime (578689).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (578687) 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, 4156 + ... + 4292.

2⁵⁷⁸⁶⁸⁸ 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 578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844560).

578688 is an abundant number, since it is smaller than the sum of its proper divisors (1110432).

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

578688 is a wasteful number, since it uses less digits than its factorization.

578688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 578688 is about 760.7154527154. The cubic root of 578688 is about 83.3325795487.

The spelling of 578688 in words is "five hundred seventy-eight thousand, six hundred eighty-eight".