20580000 has 240 divisors, whose sum is σ = 78724800. Its totient is φ = 4704000.

The previous prime is 20579981. The next prime is 20580017. The reversal of 20580000 is 8502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 7.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 350 × 210 × 280.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2939997 + ... + 2940003.

It is an arithmetic number, because the mean of its divisors is an integer number (328020).

Almost surely, 2^20580000 is an apocalyptic number.

20580000 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 20580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39362400).

20580000 is an abundant number, since it is smaller than the sum of its proper divisors (58144800).

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

20580000 is an frugal number, since it uses more digits than its factorization.

20580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20580000 is about 4536.5184888855. The cubic root of 20580000 is about 274.0407348818.

Adding to 20580000 its reverse (8502), we get a palindrome (20588502).

The spelling of 20580000 in words is "twenty million, five hundred eighty thousand".