20585120 has 24 divisors (see below), whose sum is σ = 48632724. Its totient is φ = 8233984.

The previous prime is 20585119. The next prime is 20585129. The reversal of 20585120 is 2158502.

It can be written as a sum of positive squares in 2 ways, for example, as 20106256 + 478864 = 4484^2 + 692^2 .

It is not an unprimeable number, because it can be changed into a prime (20585129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64169 + ... + 64488.

Almost surely, 2^20585120 is an apocalyptic number.

20585120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20585120 is an abundant number, since it is smaller than the sum of its proper divisors (28047604).

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

20585120 is a wasteful number, since it uses less digits than its factorization.

20585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128672 (or 128664 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 20585120 is about 4537.0827631861. The cubic root of 20585120 is about 274.0634587597.

The spelling of 20585120 in words is "twenty million, five hundred eighty-five thousand, one hundred twenty".