20585200 has 60 divisors (see below), whose sum is σ = 50440968. Its totient is φ = 8070400.

The previous prime is 20585177. The next prime is 20585203. The reversal of 20585200 is 258502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20585203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20715 + ... + 21685.

Almost surely, 2^20585200 is an apocalyptic number.

20585200 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 20585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220484).

20585200 is an abundant number, since it is smaller than the sum of its proper divisors (29855768).

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

20585200 is a wasteful number, since it uses less digits than its factorization.

20585200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 20585200 is about 4537.0915794152. The cubic root of 20585200 is about 274.0638137904.

The spelling of 20585200 in words is "twenty million, five hundred eighty-five thousand, two hundred".