578664 has 80 divisors (see below), whose sum is σ = 1742400. Its totient is φ = 178848.

The previous prime is 578659. The next prime is 578687. The reversal of 578664 is 466875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime factors (84).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 578664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12289 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (21780).

2⁵⁷⁸⁶⁶⁴ is an apocalyptic number.

578664 is a gapful number since it is divisible by the number (54) 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 578664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871200).

578664 is an abundant number, since it is smaller than the sum of its proper divisors (1163736).

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

578664 is a wasteful number, since it uses less digits than its factorization.

578664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 578664 is about 760.6996779282. The cubic root of 578664 is about 83.3314275120.

The spelling of 578664 in words is "five hundred seventy-eight thousand, six hundred sixty-four".