10006048 has 48 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 4536576.

The previous prime is 10006043. The next prime is 10006063. The reversal of 10006048 is 84060001.

It is not an unprimeable number, because it can be changed into a prime (10006043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27693 + ... + 28051.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^10006048 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 10006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795680).

10006048 is an abundant number, since it is smaller than the sum of its proper divisors (11585312).

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

10006048 is a wasteful number, since it uses less digits than its factorization.

10006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10006048 is about 3163.2337883881. The cubic root of 10006048 is about 215.4868936533.

Adding to 10006048 its reverse (84060001), we get a palindrome (94066049).

The spelling of 10006048 in words is "ten million, six thousand, forty-eight".