20444160 has 176 divisors, whose sum is σ = 71923392. Its totient is φ = 4956160.

The previous prime is 20444153. The next prime is 20444191. The reversal of 20444160 is 6144402.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1858555 + ... + 1858565.

Almost surely, 2^20444160 is an apocalyptic number.

20444160 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 20444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35961696).

20444160 is an abundant number, since it is smaller than the sum of its proper divisors (51479232).

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

20444160 is an equidigital number, since it uses as much as digits as its factorization.

20444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20444160 is about 4521.5218676901. The cubic root of 20444160 is about 273.4364605239.

Adding to 20444160 its reverse (6144402), we get a palindrome (26588562).

The spelling of 20444160 in words is "twenty million, four hundred forty-four thousand, one hundred sixty".