20009952 has 144 divisors (see below), whose sum is σ = 62152272. Its totient is φ = 6082560.

The previous prime is 20009947. The next prime is 20009981. The reversal of 20009952 is 25990002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298623 + ... + 298689.

It is an arithmetic number, because the mean of its divisors is an integer number (431613).

Almost surely, 2^20009952 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 20009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31076136).

20009952 is an abundant number, since it is smaller than the sum of its proper divisors (42142320).

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

20009952 is a wasteful number, since it uses less digits than its factorization.

20009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 20009952 is about 4473.2484840438. The cubic root of 20009952 is about 271.4867773339.

Adding to 20009952 its reverse (25990002), we get a palindrome (45999954).

The spelling of 20009952 in words is "twenty million, nine thousand, nine hundred fifty-two".