20427584 has 56 divisors (see below), whose sum is σ = 43342560. Its totient is φ = 9524736.

The previous prime is 20427551. The next prime is 20427593. The reversal of 20427584 is 48572402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20427584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130034 + ... + 130190.

Almost surely, 2^20427584 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 20427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671280).

20427584 is an abundant number, since it is smaller than the sum of its proper divisors (22914976).

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

20427584 is a wasteful number, since it uses less digits than its factorization.

20427584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 20427584 is about 4519.6884848405. The cubic root of 20427584 is about 273.3625403386.

Adding to 20427584 its reverse (48572402), we get a palindrome (68999986).

The spelling of 20427584 in words is "twenty million, four hundred twenty-seven thousand, five hundred eighty-four".