8225600 has 84 divisors (see below), whose sum is σ = 20834604. Its totient is φ = 3194880.

The previous prime is 8225597. The next prime is 8225629. The reversal of 8225600 is 65228.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23104 + 8202496 = 152^2 + 2864^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84752 + ... + 84848.

It is an arithmetic number, because the mean of its divisors is an integer number (248031).

Almost surely, 2^8225600 is an apocalyptic number.

8225600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417302).

8225600 is an abundant number, since it is smaller than the sum of its proper divisors (12609004).

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

8225600 is a wasteful number, since it uses less digits than its factorization.

8225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 8225600 is about 2868.0306832389. The cubic root of 8225600 is about 201.8625997617.

The spelling of 8225600 in words is "eight million, two hundred twenty-five thousand, six hundred".