20838144 has 72 divisors (see below), whose sum is σ = 56839552. Its totient is φ = 6773760.

The previous prime is 20838137. The next prime is 20838157. The reversal of 20838144 is 44183802.

It is a super-3 number, since 3×20838144³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32709 + ... + 33339.

Almost surely, 2^20838144 is an apocalyptic number.

20838144 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 20838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28419776).

20838144 is an abundant number, since it is smaller than the sum of its proper divisors (36001408).

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

20838144 is an equidigital number, since it uses as much as digits as its factorization.

20838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20838144 is about 4564.8815975883. The cubic root of 20838144 is about 275.1817817397.

The spelling of 20838144 in words is "twenty million, eight hundred thirty-eight thousand, one hundred forty-four".