20395872 has 144 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 5702400.

The previous prime is 20395853. The next prime is 20395883. The reversal of 20395872 is 27859302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 134997 + ... + 135147.

It is an arithmetic number, because the mean of its divisors is an integer number (470288).

Almost surely, 2^20395872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).

20395872 is an abundant number, since it is smaller than the sum of its proper divisors (47325600).

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

20395872 is a wasteful number, since it uses less digits than its factorization.

20395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20395872 is about 4516.1789158535. The cubic root of 20395872 is about 273.2210100979.

The spelling of 20395872 in words is "twenty million, three hundred ninety-five thousand, eight hundred seventy-two".