825904608 has 96 divisors (see below), whose sum is σ = 2395443456. Its totient is φ = 247830528.

The previous prime is 825904571. The next prime is 825904619. The reversal of 825904608 is 806409528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 825904608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26535 + ... + 48537.

It is an arithmetic number, because the mean of its divisors is an integer number (24952536).

Almost surely, 2^825904608 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 825904608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197721728).

825904608 is an abundant number, since it is smaller than the sum of its proper divisors (1569538848).

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

825904608 is a wasteful number, since it uses less digits than its factorization.

825904608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22056 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 825904608 is about 28738.5561223942. The cubic root of 825904608 is about 938.2313990929.

The spelling of 825904608 in words is "eight hundred twenty-five million, nine hundred four thousand, six hundred eight".