10039424 has 32 divisors (see below), whose sum is σ = 20498940. Its totient is φ = 4894720.

The previous prime is 10039411. The next prime is 10039427. The reversal of 10039424 is 42493001.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 53824 = 3160^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10039424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4292 + ... + 6204.

Almost surely, 2^10039424 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 10039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249470).

10039424 is an abundant number, since it is smaller than the sum of its proper divisors (10459516).

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

10039424 is an equidigital number, since it uses as much as digits as its factorization.

10039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10039424 is about 3168.5050102533. The cubic root of 10039424 is about 215.7262192007.

The spelling of 10039424 in words is "ten million, thirty-nine thousand, four hundred twenty-four".