825868008 has 128 divisors (see below), whose sum is σ = 2647756800. Its totient is φ = 233627328.

The previous prime is 825867997. The next prime is 825868013. The reversal of 825868008 is 800868528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153085 + ... + 158387.

It is an arithmetic number, because the mean of its divisors is an integer number (20685600).

Almost surely, 2^825868008 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 825868008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323878400).

825868008 is an abundant number, since it is smaller than the sum of its proper divisors (1821888792).

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

825868008 is a wasteful number, since it uses less digits than its factorization.

825868008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 825868008 is about 28737.9193401332. The cubic root of 825868008 is about 938.2175396326.

The spelling of 825868008 in words is "eight hundred twenty-five million, eight hundred sixty-eight thousand, eight".