825608 has 32 divisors (see below), whose sum is σ = 1848960. Its totient is φ = 337920.

The previous prime is 825593. The next prime is 825611. The reversal of 825608 is 806528.

It is a happy number.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

825608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968 + ... + 1608.

It is an arithmetic number, because the mean of its divisors is an integer number (57780).

2⁸²⁵⁶⁰⁸ 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 825608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924480).

825608 is an abundant number, since it is smaller than the sum of its proper divisors (1023352).

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

825608 is a wasteful number, since it uses less digits than its factorization.

825608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 825608 is about 908.6297375719. The cubic root of 825608 is about 93.8119069632.

The spelling of 825608 in words is "eight hundred twenty-five thousand, six hundred eight".