20584240 has 40 divisors (see below), whose sum is σ = 48479040. Its totient is φ = 8126976.

The previous prime is 20584237. The next prime is 20584243. The reversal of 20584240 is 4248502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20584237) and next prime (20584243).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20584243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4692 + ... + 7948.

It is an arithmetic number, because the mean of its divisors is an integer number (1211976).

Almost surely, 2^20584240 is an apocalyptic number.

20584240 is a gapful number since it is divisible by the number (20) 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 20584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24239520).

20584240 is an abundant number, since it is smaller than the sum of its proper divisors (27894800).

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

20584240 is a wasteful number, since it uses less digits than its factorization.

20584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 20584240 is about 4536.9857835351. The cubic root of 20584240 is about 274.0595533614.

The spelling of 20584240 in words is "twenty million, five hundred eighty-four thousand, two hundred forty".