20270120 has 64 divisors (see below), whose sum is σ = 52027920. Its totient is φ = 7041024.

The previous prime is 20270119. The next prime is 20270123. The reversal of 20270120 is 2107202.

It can be written as a sum of positive squares in 8 ways, for example, as 5692996 + 14577124 = 2386^2 + 3818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20270095 and 20270104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20270123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7694 + ... + 9986.

Almost surely, 2^20270120 is an apocalyptic number.

20270120 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 20270120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013960).

20270120 is an abundant number, since it is smaller than the sum of its proper divisors (31757800).

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

20270120 is a wasteful number, since it uses less digits than its factorization.

20270120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 20270120 is about 4502.2350005303. The cubic root of 20270120 is about 272.6583317999.

Adding to 20270120 its reverse (2107202), we get a palindrome (22377322).

The spelling of 20270120 in words is "twenty million, two hundred seventy thousand, one hundred twenty".