20814144 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 6174720.

The previous prime is 20814133. The next prime is 20814161. The reversal of 20814144 is 44141802.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 77242 + ... + 77510.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^20814144 is an apocalyptic number.

20814144 is a gapful number since it is divisible by the number (24) 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 20814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

20814144 is an abundant number, since it is smaller than the sum of its proper divisors (40633536).

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

20814144 is a wasteful number, since it uses less digits than its factorization.

20814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20814144 is about 4562.2520754557. The cubic root of 20814144 is about 275.0760957459.

Adding to 20814144 its reverse (44141802), we get a palindrome (64955946).

The spelling of 20814144 in words is "twenty million, eight hundred fourteen thousand, one hundred forty-four".