20441600 has 60 divisors (see below), whose sum is σ = 50677374. Its totient is φ = 8171520.

The previous prime is 20441593. The next prime is 20441611. The reversal of 20441600 is 614402.

It can be written as a sum of positive squares in 3 ways, for example, as 12054784 + 8386816 = 3472^2 + 2896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12002 + ... + 13598.

Almost surely, 2^20441600 is an apocalyptic number.

20441600 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 20441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338687).

20441600 is an abundant number, since it is smaller than the sum of its proper divisors (30235774).

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

20441600 is an equidigital number, since it uses as much as digits as its factorization.

20441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20441600 is about 4521.2387683023. The cubic root of 20441600 is about 273.4250468886.

The spelling of 20441600 in words is "twenty million, four hundred forty-one thousand, six hundred".