10526304 has 96 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3193344.

The previous prime is 10526293. The next prime is 10526317. The reversal of 10526304 is 40362501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10526304² = 221606151800832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52797 + ... + 52995.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 2^10526304 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 10526304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

10526304 is an abundant number, since it is smaller than the sum of its proper divisors (19713696).

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

10526304 is a wasteful number, since it uses less digits than its factorization.

10526304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10526304 is about 3244.4266057348. The cubic root of 10526304 is about 219.1586598651.

Adding to 10526304 its reverse (40362501), we get a palindrome (50888805).

The spelling of 10526304 in words is "ten million, five hundred twenty-six thousand, three hundred four".