20804832 has 144 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 6429696.

The previous prime is 20804827. The next prime is 20804837. The reversal of 20804832 is 23840802.

It is an interprime number because it is at equal distance from previous prime (20804827) and next prime (20804837).

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

It is a junction number, because it is equal to n+sod(n) for n = 20804796 and 20804805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20804837) 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 23 ways as a sum of consecutive naturals, for example, 392518 + ... + 392570.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^20804832 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 20804832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

20804832 is an abundant number, since it is smaller than the sum of its proper divisors (42880608).

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

20804832 is a wasteful number, since it uses less digits than its factorization.

20804832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20804832 is about 4561.2314126779. The cubic root of 20804832 is about 275.0350677043.

The spelling of 20804832 in words is "twenty million, eight hundred four thousand, eight hundred thirty-two".