20585232 has 80 divisors (see below), whose sum is σ = 62585280. Its totient is φ = 6455808.

The previous prime is 20585219. The next prime is 20585233. The reversal of 20585232 is 23258502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20585196 and 20585205.

It is not an unprimeable number, because it can be changed into a prime (20585233) 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, 5943 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (782316).

Almost surely, 2^20585232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20585232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31292640).

20585232 is an abundant number, since it is smaller than the sum of its proper divisors (42000048).

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

20585232 is a wasteful number, since it uses less digits than its factorization.

20585232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20585232 is about 4537.0951059020. The cubic root of 20585232 is about 274.0639558025.

The spelling of 20585232 in words is "twenty million, five hundred eighty-five thousand, two hundred thirty-two".