225600 has 84 divisors (see below), whose sum is σ = 755904. Its totient is φ = 58880.

The previous prime is 225583. The next prime is 225601. The reversal of 225600 is 6522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 225600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4777 + ... + 4823.

2²²⁵⁶⁰⁰ is an apocalyptic number.

225600 is a gapful number since it is divisible by the number (20) 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 225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377952).

225600 is an abundant number, since it is smaller than the sum of its proper divisors (530304).

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

225600 is a wasteful number, since it uses less digits than its factorization.

225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 225600 is about 474.9736834815. The cubic root of 225600 is about 60.8760359876.

The spelling of 225600 in words is "two hundred twenty-five thousand, six hundred".