20585320 has 64 divisors (see below), whose sum is σ = 54391680. Its totient is φ = 6863616.

The previous prime is 20585293. The next prime is 20585329. The reversal of 20585320 is 2358502.

It is not an unprimeable number, because it can be changed into a prime (20585329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9367 + ... + 11353.

It is an arithmetic number, because the mean of its divisors is an integer number (849870).

Almost surely, 2^20585320 is an apocalyptic number.

20585320 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 20585320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27195840).

20585320 is an abundant number, since it is smaller than the sum of its proper divisors (33806360).

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

20585320 is a wasteful number, since it uses less digits than its factorization.

20585320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 20585320 is about 4537.1048037267. The cubic root of 20585320 is about 274.0643463347.

The spelling of 20585320 in words is "twenty million, five hundred eighty-five thousand, three hundred twenty".