10007024 has 40 divisors (see below), whose sum is σ = 20570112. Its totient is φ = 4706240.

The previous prime is 10007021. The next prime is 10007051. The reversal of 10007024 is 42070001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007021) 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 7 ways as a sum of consecutive naturals, for example, 25937 + ... + 26319.

Almost surely, 2^10007024 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 10007024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285056).

10007024 is an abundant number, since it is smaller than the sum of its proper divisors (10563088).

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

10007024 is a wasteful number, since it uses less digits than its factorization.

10007024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10007024 is about 3163.3880571312. The cubic root of 10007024 is about 215.4938996951.

Adding to 10007024 its reverse (42070001), we get a palindrome (52077025).

The spelling of 10007024 in words is "ten million, seven thousand, twenty-four".