20009600 has 144 divisors (see below), whose sum is σ = 54971370. Its totient is φ = 7188480.

The previous prime is 20009597. The next prime is 20009611. The reversal of 20009600 is 690002.

It can be written as a sum of positive squares in 9 ways, for example, as 153664 + 19855936 = 392^2 + 4456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 540782 + ... + 540818.

Almost surely, 2^20009600 is an apocalyptic number.

20009600 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 20009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27485685).

20009600 is an abundant number, since it is smaller than the sum of its proper divisors (34961770).

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

20009600 is a wasteful number, since it uses less digits than its factorization.

20009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 20009600 is about 4473.2091388622. The cubic root of 20009600 is about 271.4851853943.

Adding to 20009600 its reverse (690002), we get a palindrome (20699602).

The spelling of 20009600 in words is "twenty million, nine thousand, six hundred".