10024040 has 64 divisors (see below), whose sum is σ = 24993360. Its totient is φ = 3594240.

The previous prime is 10024009. The next prime is 10024043. The reversal of 10024040 is 4042001.

It can be written as a sum of positive squares in 8 ways, for example, as 3541924 + 6482116 = 1882^2 + 2546^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024043) 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 15 ways as a sum of consecutive naturals, for example, 18980 + ... + 19500.

Almost surely, 2^10024040 is an apocalyptic number.

10024040 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 10024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496680).

10024040 is an abundant number, since it is smaller than the sum of its proper divisors (14969320).

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

10024040 is a wasteful number, since it uses less digits than its factorization.

10024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10024040 is about 3166.0764362220. The cubic root of 10024040 is about 215.6159728770.

Adding to 10024040 its reverse (4042001), we get a palindrome (14066041).

The spelling of 10024040 in words is "ten million, twenty-four thousand, forty".