20585984 has 40 divisors (see below), whose sum is σ = 42491328. Its totient is φ = 9953280.

The previous prime is 20585947. The next prime is 20585993. The reversal of 20585984 is 48958502.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15224 + ... + 16520.

Almost surely, 2^20585984 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 20585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21245664).

20585984 is an abundant number, since it is smaller than the sum of its proper divisors (21905344).

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

20585984 is an equidigital number, since it uses as much as digits as its factorization.

20585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 20585984 is about 4537.1779775539. The cubic root of 20585984 is about 274.0672930426.

The spelling of 20585984 in words is "twenty million, five hundred eighty-five thousand, nine hundred eighty-four".