10825344 has 48 divisors (see below), whose sum is σ = 31154370. Its totient is φ = 3608064.

The previous prime is 10825333. The next prime is 10825357. The reversal of 10825344 is 44352801.

It can be written as a sum of positive squares in only one way, i.e., 10810944 + 14400 = 3288^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3547 + ... + 5850.

Almost surely, 2^10825344 is an apocalyptic number.

It is an amenable number.

10825344 is an abundant number, since it is smaller than the sum of its proper divisors (20329026).

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

10825344 is an equidigital number, since it uses as much as digits as its factorization.

10825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10825344 is about 3290.1890523190. The cubic root of 10825344 is about 221.2146587236.

It can be divided in two parts, 108 and 25344, that added together give a palindrome (25452).

The spelling of 10825344 in words is "ten million, eight hundred twenty-five thousand, three hundred forty-four".