21006304 has 48 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 9420160.

The previous prime is 21006289. The next prime is 21006311. The reversal of 21006304 is 40360012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28857 + ... + 29575.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^21006304 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 21006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

21006304 is an abundant number, since it is smaller than the sum of its proper divisors (24716576).

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

21006304 is a wasteful number, since it uses less digits than its factorization.

21006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 21006304 is about 4583.2634661341. The cubic root of 21006304 is about 275.9200216349.

Adding to 21006304 its reverse (40360012), we get a palindrome (61366316).

The spelling of 21006304 in words is "twenty-one million, six thousand, three hundred four".