20144208 has 80 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 5705088.

The previous prime is 20144143. The next prime is 20144209. The reversal of 20144208 is 80244102.

It is a super-3 number, since 3×20144208³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55933 + ... + 56291.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^20144208 is an apocalyptic number.

20144208 is a gapful number since it is divisible by the number (28) 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 20144208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

20144208 is an abundant number, since it is smaller than the sum of its proper divisors (39851952).

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

20144208 is a wasteful number, since it uses less digits than its factorization.

20144208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20144208 is about 4488.2299406336. The cubic root of 20144208 is about 272.0926011121.

The spelling of 20144208 in words is "twenty million, one hundred forty-four thousand, two hundred eight".