825391008 has 288 divisors, whose sum is σ = 2735328960. Its totient is φ = 233902080.

The previous prime is 825391003. The next prime is 825391009. The reversal of 825391008 is 800193528.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (825391003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916435 + ... + 2916717.

It is an arithmetic number, because the mean of its divisors is an integer number (9497670).

Almost surely, 2^825391008 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 825391008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367664480).

825391008 is an abundant number, since it is smaller than the sum of its proper divisors (1909937952).

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

825391008 is a wasteful number, since it uses less digits than its factorization.

825391008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 825391008 is about 28729.6190019986. The cubic root of 825391008 is about 938.0368747845.

The spelling of 825391008 in words is "eight hundred twenty-five million, three hundred ninety-one thousand, eight".