10006788 has 72 divisors (see below), whose sum is σ = 26714016. Its totient is φ = 2889600.

The previous prime is 10006781. The next prime is 10006793. The reversal of 10006788 is 88760001.

It is not an unprimeable number, because it can be changed into a prime (10006781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232695 + ... + 232737.

It is an arithmetic number, because the mean of its divisors is an integer number (371028).

Almost surely, 2^10006788 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 10006788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357008).

10006788 is an abundant number, since it is smaller than the sum of its proper divisors (16707228).

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

10006788 is a wasteful number, since it uses less digits than its factorization.

10006788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10006788 is about 3163.3507551329. The cubic root of 10006788 is about 215.4922056530.

Adding to 10006788 its reverse (88760001), we get a palindrome (98766789).

The spelling of 10006788 in words is "ten million, six thousand, seven hundred eighty-eight".