20705120 has 48 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 8217600.

The previous prime is 20705119. The next prime is 20705131. The reversal of 20705120 is 2150702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23732 + ... + 24588.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^20705120 is an apocalyptic number.

20705120 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 20705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

20705120 is an abundant number, since it is smaller than the sum of its proper divisors (28592128).

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

20705120 is a wasteful number, since it uses less digits than its factorization.

20705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 20705120 is about 4550.2879029793. The cubic root of 20705120 is about 274.5949740097.

Adding to 20705120 its reverse (2150702), we get a palindrome (22855822).

The spelling of 20705120 in words is "twenty million, seven hundred five thousand, one hundred twenty".