20838240 has 144 divisors (see below), whose sum is σ = 73710000. Its totient is φ = 5354496.

The previous prime is 20838227. The next prime is 20838263. The reversal of 20838240 is 4283802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41511 + ... + 42009.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 2^20838240 is an apocalyptic number.

20838240 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 20838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36855000).

20838240 is an abundant number, since it is smaller than the sum of its proper divisors (52871760).

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

20838240 is a wasteful number, since it uses less digits than its factorization.

20838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20838240 is about 4564.8921126353. The cubic root of 20838240 is about 275.1822043207.

The spelling of 20838240 in words is "twenty million, eight hundred thirty-eight thousand, two hundred forty".