576384 has 64 divisors (see below), whose sum is σ = 1632000. Its totient is φ = 179712.

The previous prime is 576379. The next prime is 576391. The reversal of 576384 is 483675.

576384 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is an unprimeable number.

576384 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 7 ways as a sum of consecutive naturals, for example, 7257 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (25500).

576384 is a Friedman number, since it can be written as 8*6*(7^4*5+3), using all its digits and the basic arithmetic operations.

2⁵⁷⁶³⁸⁴ 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 576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816000).

576384 is an abundant number, since it is smaller than the sum of its proper divisors (1055616).

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

576384 is a wasteful number, since it uses less digits than its factorization.

576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 576384 is about 759.1995785036. The cubic root of 576384 is about 83.2218384488.

It can be divided in two parts, 57 and 6384, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 576384 in words is "five hundred seventy-six thousand, three hundred eighty-four".