20005632 has 108 divisors (see below), whose sum is σ = 60849880. Its totient is φ = 6303744.

The previous prime is 20005603. The next prime is 20005637. The reversal of 20005632 is 23650002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20005637) 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 11 ways as a sum of consecutive naturals, for example, 43548 + ... + 44004.

Almost surely, 2^20005632 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 20005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30424940).

20005632 is an abundant number, since it is smaller than the sum of its proper divisors (40844248).

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

20005632 is a wasteful number, since it uses less digits than its factorization.

20005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20005632 is about 4472.7655874190. The cubic root of 20005632 is about 271.4672386016.

Adding to 20005632 its reverse (23650002), we get a palindrome (43655634).

The spelling of 20005632 in words is "twenty million, five thousand, six hundred thirty-two".