20585136 has 80 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 5756160.

The previous prime is 20585129. The next prime is 20585167. The reversal of 20585136 is 63158502.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5365 + ... + 8363.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^20585136 is an apocalyptic number.

20585136 is a gapful number since it is divisible by the number (26) 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 20585136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

20585136 is an abundant number, since it is smaller than the sum of its proper divisors (41910864).

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

20585136 is a wasteful number, since it uses less digits than its factorization.

20585136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 20585136 is about 4537.0845264332. The cubic root of 20585136 is about 274.0635297660.

The spelling of 20585136 in words is "twenty million, five hundred eighty-five thousand, one hundred thirty-six".