20008960 has 52 divisors (see below), whose sum is σ = 48064788. Its totient is φ = 7995392.

The previous prime is 20008951. The next prime is 20008991. The reversal of 20008960 is 6980002.

It can be written as a sum of positive squares in 2 ways, for example, as 13778944 + 6230016 = 3712^2 + 2496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19992 + ... + 20968.

Almost surely, 2^20008960 is an apocalyptic number.

20008960 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 20008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24032394).

20008960 is an abundant number, since it is smaller than the sum of its proper divisors (28055828).

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

20008960 is an frugal number, since it uses more digits than its factorization.

20008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 20008960 is about 4473.1376012817. The cubic root of 20008960 is about 271.4822909108.

Adding to 20008960 its reverse (6980002), we get a palindrome (26988962).

The spelling of 20008960 in words is "twenty million, eight thousand, nine hundred sixty".