10824372 has 72 divisors (see below), whose sum is σ = 29888040. Its totient is φ = 3283200.

The previous prime is 10824353. The next prime is 10824377. The reversal of 10824372 is 27342801.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 5788836 = 2244^2 + 2406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824377) 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 23 ways as a sum of consecutive naturals, for example, 47154 + ... + 47382.

Almost surely, 2^10824372 is an apocalyptic number.

10824372 is a gapful number since it is divisible by the number (12) 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 10824372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944020).

10824372 is an abundant number, since it is smaller than the sum of its proper divisors (19063668).

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

10824372 is a wasteful number, since it uses less digits than its factorization.

10824372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10824372 is about 3290.0413371263. The cubic root of 10824372 is about 221.2080376227.

The spelling of 10824372 in words is "ten million, eight hundred twenty-four thousand, three hundred seventy-two".