10504320 has 64 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 2800640.

The previous prime is 10504279. The next prime is 10504331. The reversal of 10504320 is 2340501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10504320² = 220681477324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10504320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^10504320 is an apocalyptic number.

10504320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

10504320 is an abundant number, since it is smaller than the sum of its proper divisors (22984320).

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

10504320 is an equidigital number, since it uses as much as digits as its factorization.

10504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10504320 is about 3241.0368711263. The cubic root of 10504320 is about 219.0059838652.

Adding to 10504320 its reverse (2340501), we get a palindrome (12844821).

The spelling of 10504320 in words is "ten million, five hundred four thousand, three hundred twenty".