20820008 has 32 divisors (see below), whose sum is σ = 43018560. Its totient is φ = 9367680.

The previous prime is 20820001. The next prime is 20820017. The reversal of 20820008 is 80002802.

It is not an unprimeable number, because it can be changed into a prime (20820001) 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, 7916 + ... + 10212.

It is an arithmetic number, because the mean of its divisors is an integer number (1344330).

Almost surely, 2^20820008 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 20820008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509280).

20820008 is an abundant number, since it is smaller than the sum of its proper divisors (22198552).

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

20820008 is a wasteful number, since it uses less digits than its factorization.

20820008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 20820008 is about 4562.8946952565. The cubic root of 20820008 is about 275.1019258540.

It can be divided in two parts, 20 and 820008, that added together give a palindrome (820028).

The spelling of 20820008 in words is "twenty million, eight hundred twenty thousand, eight".