10026304 has 28 divisors (see below), whose sum is σ = 20386548. Its totient is φ = 4889600.

The previous prime is 10026301. The next prime is 10026337. The reversal of 10026304 is 40362001.

It can be written as a sum of positive squares in 2 ways, for example, as 4494400 + 5531904 = 2120^2 + 2352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026301) 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 3 ways as a sum of consecutive naturals, for example, 714 + ... + 4534.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 2^10026304 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 10026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193274).

10026304 is an abundant number, since it is smaller than the sum of its proper divisors (10360244).

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

10026304 is an equidigital number, since it uses as much as digits as its factorization.

10026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3864 counting only the distinct ones).

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

The square root of 10026304 is about 3166.4339563616. The cubic root of 10026304 is about 215.6322044502.

Adding to 10026304 its reverse (40362001), we get a palindrome (50388305).

The spelling of 10026304 in words is "ten million, twenty-six thousand, three hundred four".