10021824 has 84 divisors (see below), whose sum is σ = 29163264. Its totient is φ = 3290112.

The previous prime is 10021819. The next prime is 10021829. The reversal of 10021824 is 42812001.

It is an interprime number because it is at equal distance from previous prime (10021819) and next prime (10021829).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10021797 and 10021806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021829) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 73084 + ... + 73220.

Almost surely, 2^10021824 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 10021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581632).

10021824 is an abundant number, since it is smaller than the sum of its proper divisors (19141440).

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

10021824 is a wasteful number, since it uses less digits than its factorization.

10021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10021824 is about 3165.7264569132. The cubic root of 10021824 is about 215.6000830691.

Adding to 10021824 its reverse (42812001), we get a palindrome (52833825).

The spelling of 10021824 in words is "ten million, twenty-one thousand, eight hundred twenty-four".