20144320 has 168 divisors, whose sum is σ = 60679584. Its totient is φ = 6217728.

The previous prime is 20144279. The next prime is 20144321. The reversal of 20144320 is 2344102.

20144320 = T₁₀₅ + T₁₀₆ + ... + T₄₉₅.

20144320 = 351² + 352² + ... + 469².

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20144294 and 20144303.

It is not an unprimeable number, because it can be changed into a prime (20144321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875829 + ... + 875851.

It is an arithmetic number, because the mean of its divisors is an integer number (361188).

Almost surely, 2^20144320 is an apocalyptic number.

20144320 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 20144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30339792).

20144320 is an abundant number, since it is smaller than the sum of its proper divisors (40535264).

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

20144320 is a wasteful number, since it uses less digits than its factorization.

20144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20144320 is about 4488.2424176954. The cubic root of 20144320 is about 272.0931053814.

Adding to 20144320 its reverse (2344102), we get a palindrome (22488422).

It can be divided in two parts, 201 and 44320, that added together give a square (44521 = 211²).

The spelling of 20144320 in words is "twenty million, one hundred forty-four thousand, three hundred twenty".