20434120 has 128 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 6310656.

The previous prime is 20434109. The next prime is 20434147. The reversal of 20434120 is 2143402.

It is a junction number, because it is equal to n+sod(n) for n = 20434094 and 20434103.

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 31 ways as a sum of consecutive naturals, for example, 122277 + ... + 122443.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^20434120 is an apocalyptic number.

20434120 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 20434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

20434120 is an abundant number, since it is smaller than the sum of its proper divisors (37626680).

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

20434120 is a wasteful number, since it uses less digits than its factorization.

20434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20434120 is about 4520.4114856946. The cubic root of 20434120 is about 273.3916922122.

Adding to 20434120 its reverse (2143402), we get a palindrome (22577522).

The spelling of 20434120 in words is "twenty million, four hundred thirty-four thousand, one hundred twenty".