20585100 has 72 divisors (see below), whose sum is σ = 60621120. Its totient is φ = 5391680.

The previous prime is 20585093. The next prime is 20585111. The reversal of 20585100 is 158502.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17119 + ... + 18281.

It is an arithmetic number, because the mean of its divisors is an integer number (841960).

Almost surely, 2^20585100 is an apocalyptic number.

20585100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20585100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30310560).

20585100 is an abundant number, since it is smaller than the sum of its proper divisors (40036020).

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

20585100 is a wasteful number, since it uses less digits than its factorization.

20585100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 20585100 is about 4537.0805591261. The cubic root of 20585100 is about 274.0633700019.

The spelling of 20585100 in words is "twenty million, five hundred eighty-five thousand, one hundred".