20085920 has 48 divisors (see below), whose sum is σ = 48480768. Its totient is φ = 7860480.

The previous prime is 20085911. The next prime is 20085929. The reversal of 20085920 is 2958002.

It is an interprime number because it is at equal distance from previous prime (20085911) and next prime (20085929).

It is a self number, because there is not a number n which added to its sum of digits gives 20085920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085929) 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, 6185 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (1010016).

Almost surely, 2^20085920 is an apocalyptic number.

20085920 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 20085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240384).

20085920 is an abundant number, since it is smaller than the sum of its proper divisors (28394848).

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

20085920 is a wasteful number, since it uses less digits than its factorization.

20085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 20085920 is about 4481.7318081295. The cubic root of 20085920 is about 271.8299109619.

The spelling of 20085920 in words is "twenty million, eighty-five thousand, nine hundred twenty".