40584 has 32 divisors (see below), whose sum is σ = 108000. Its totient is φ = 12672.

The previous prime is 40583. The next prime is 40591. The reversal of 40584 is 48504.

It is a super-2 number, since 2×40584² = 3294122112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40583) by changing a digit.

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, 412 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2⁴⁰⁵⁸⁴ 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 40584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000).

40584 is an abundant number, since it is smaller than the sum of its proper divisors (67416).

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

40584 is a wasteful number, since it uses less digits than its factorization.

40584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40584 is about 201.4547095503. The cubic root of 40584 is about 34.3651531024.

The spelling of 40584 in words is "forty thousand, five hundred eighty-four".