825634336 has 48 divisors (see below), whose sum is σ = 1672586496. Its totient is φ = 400984576.

The previous prime is 825634331. The next prime is 825634339. The reversal of 825634336 is 633436528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (825634331) 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, 204045 + ... + 208051.

It is an arithmetic number, because the mean of its divisors is an integer number (34845552).

Almost surely, 2^825634336 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 825634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836293248).

825634336 is an abundant number, since it is smaller than the sum of its proper divisors (846952160).

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

825634336 is a wasteful number, since it uses less digits than its factorization.

825634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4193 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The square root of 825634336 is about 28733.8534833043. The cubic root of 825634336 is about 938.1290445192.

The spelling of 825634336 in words is "eight hundred twenty-five million, six hundred thirty-four thousand, three hundred thirty-six".