20935872 has 84 divisors (see below), whose sum is σ = 63200280. Its totient is φ = 6607872.

The previous prime is 20935847. The next prime is 20935877. The reversal of 20935872 is 27853902.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20935877) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9988 + ... + 11900.

Almost surely, 2^20935872 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 20935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600140).

20935872 is an abundant number, since it is smaller than the sum of its proper divisors (42264408).

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

20935872 is a wasteful number, since it uses less digits than its factorization.

20935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1937 counting only the distinct ones).

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

The square root of 20935872 is about 4575.5734066890. The cubic root of 20935872 is about 275.6112990860.

The spelling of 20935872 in words is "twenty million, nine hundred thirty-five thousand, eight hundred seventy-two".