20838420 has 36 divisors (see below), whose sum is σ = 63210420. Its totient is φ = 5556864.

The previous prime is 20838401. The next prime is 20838431. The reversal of 20838420 is 2483802.

20838420 is a `hidden beast` number, since 208 + 38 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16016004 + 4822416 = 4002^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 57705 + ... + 58064.

It is an arithmetic number, because the mean of its divisors is an integer number (1755845).

Almost surely, 2^20838420 is an apocalyptic number.

20838420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20838420 is an abundant number, since it is smaller than the sum of its proper divisors (42372000).

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

20838420 is a wasteful number, since it uses less digits than its factorization.

20838420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115784 (or 115779 counting only the distinct ones).

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

The square root of 20838420 is about 4564.9118282832. The cubic root of 20838420 is about 275.1829966566.

The spelling of 20838420 in words is "twenty million, eight hundred thirty-eight thousand, four hundred twenty".