20006382 has 48 divisors (see below), whose sum is σ = 46596816. Its totient is φ = 5702400.

The previous prime is 20006359. The next prime is 20006419. The reversal of 20006382 is 28360002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11532 + ... + 13152.

It is an arithmetic number, because the mean of its divisors is an integer number (970767).

Almost surely, 2^20006382 is an apocalyptic number.

20006382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20006382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298408).

20006382 is an abundant number, since it is smaller than the sum of its proper divisors (26590434).

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

20006382 is a wasteful number, since it uses less digits than its factorization.

20006382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20006382 is about 4472.8494273785. The cubic root of 20006382 is about 271.4706309444.

Adding to 20006382 its reverse (28360002), we get a palindrome (48366384).

The spelling of 20006382 in words is "twenty million, six thousand, three hundred eighty-two".