21819296 has 48 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 9722880.

The previous prime is 21819271. The next prime is 21819311. The reversal of 21819296 is 69291812.

It is a super-3 number, since 3×21819296³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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, 9281 + ... + 11391.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^21819296 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 21819296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

21819296 is an abundant number, since it is smaller than the sum of its proper divisors (26080864).

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

21819296 is a wasteful number, since it uses less digits than its factorization.

21819296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 21819296 is about 4671.1129294848. The cubic root of 21819296 is about 279.4346415449.

The spelling of 21819296 in words is "twenty-one million, eight hundred nineteen thousand, two hundred ninety-six".