391584 has 24 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 130496.

The previous prime is 391579. The next prime is 391613. The reversal of 391584 is 485193.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 391584.

It is an unprimeable number.

391584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1944 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2³⁹¹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

391584 is an abundant number, since it is smaller than the sum of its proper divisors (636576).

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

391584 is a wasteful number, since it uses less digits than its factorization.

391584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 391584 is about 625.7667297005. The cubic root of 391584 is about 73.1602160715.

It can be divided in two parts, 39 and 1584, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 391584 in words is "three hundred ninety-one thousand, five hundred eighty-four".