20305632 has 48 divisors (see below), whose sum is σ = 54552960. Its totient is φ = 6609792.

The previous prime is 20305631. The next prime is 20305643. The reversal of 20305632 is 23650302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 20305599 and 20305608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305631) 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 7 ways as a sum of consecutive naturals, for example, 1669 + ... + 6587.

It is an arithmetic number, because the mean of its divisors is an integer number (1136520).

Almost surely, 2^20305632 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 20305632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276480).

20305632 is an abundant number, since it is smaller than the sum of its proper divisors (34247328).

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

20305632 is a wasteful number, since it uses less digits than its factorization.

20305632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 20305632 is about 4506.1770937237. The cubic root of 20305632 is about 272.8174657651.

Adding to 20305632 its reverse (23650302), we get a palindrome (43955934).

The spelling of 20305632 in words is "twenty million, three hundred five thousand, six hundred thirty-two".