20395120 has 80 divisors (see below), whose sum is σ = 50220000. Its totient is φ = 7691264.

The previous prime is 20395093. The next prime is 20395129. The reversal of 20395120 is 2159302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20395091 and 20395100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20395129) 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, 136806 + ... + 136954.

It is an arithmetic number, because the mean of its divisors is an integer number (627750).

Almost surely, 2^20395120 is an apocalyptic number.

20395120 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 20395120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110000).

20395120 is an abundant number, since it is smaller than the sum of its proper divisors (29824880).

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

20395120 is a wasteful number, since it uses less digits than its factorization.

20395120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 20395120 is about 4516.0956588629. The cubic root of 20395120 is about 273.2176521517.

The spelling of 20395120 in words is "twenty million, three hundred ninety-five thousand, one hundred twenty".