20208580 has 72 divisors (see below), whose sum is σ = 52313688. Its totient is φ = 6515712.

The previous prime is 20208553. The next prime is 20208583. The reversal of 20208580 is 8580202.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 19571776 = 798^2 + 4424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20208583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16054 + ... + 17266.

It is an arithmetic number, because the mean of its divisors is an integer number (726579).

Almost surely, 2^20208580 is an apocalyptic number.

20208580 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 20208580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26156844).

20208580 is an abundant number, since it is smaller than the sum of its proper divisors (32105108).

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

20208580 is a wasteful number, since it uses less digits than its factorization.

20208580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 20208580 is about 4495.3954219846. The cubic root of 20208580 is about 272.3821222337.

Adding to 20208580 its reverse (8580202), we get a palindrome (28788782).

The spelling of 20208580 in words is "twenty million, two hundred eight thousand, five hundred eighty".