20814120 has 192 divisors, whose sum is σ = 75816000. Its totient is φ = 4921344.

The previous prime is 20814119. The next prime is 20814127. The reversal of 20814120 is 2141802.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20814093 and 20814102.

It is not an unprimeable number, because it can be changed into a prime (20814127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116191 + ... + 116369.

It is an arithmetic number, because the mean of its divisors is an integer number (394875).

Almost surely, 2^20814120 is an apocalyptic number.

20814120 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 20814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908000).

20814120 is an abundant number, since it is smaller than the sum of its proper divisors (55001880).

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

20814120 is a wasteful number, since it uses less digits than its factorization.

20814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20814120 is about 4562.2494451750. The cubic root of 20814120 is about 275.0759900192.

Adding to 20814120 its reverse (2141802), we get a palindrome (22955922).

The spelling of 20814120 in words is "twenty million, eight hundred fourteen thousand, one hundred twenty".