20838672 has 60 divisors (see below), whose sum is σ = 59579520. Its totient is φ = 6796224.

The previous prime is 20838661. The next prime is 20838677. The reversal of 20838672 is 27683802.

It is a happy number.

20838672 is a `hidden beast` number, since 208 + 386 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20838677) by changing a digit.

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, 5229 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^20838672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760).

20838672 is an abundant number, since it is smaller than the sum of its proper divisors (38740848).

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

20838672 is a wasteful number, since it uses less digits than its factorization.

20838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20838672 is about 4564.9394300472. The cubic root of 20838672 is about 275.1841059191.

The spelling of 20838672 in words is "twenty million, eight hundred thirty-eight thousand, six hundred seventy-two".