225600768 has 144 divisors (see below), whose sum is σ = 675010560. Its totient is φ = 74317824.

The previous prime is 225600731. The next prime is 225600769. The reversal of 225600768 is 867006522.

225600768 is a `hidden beast` number, since 22 + 560 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225600769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877696 + ... + 877952.

Almost surely, 2^225600768 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 225600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337505280).

225600768 is an abundant number, since it is smaller than the sum of its proper divisors (449409792).

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

225600768 is a wasteful number, since it uses less digits than its factorization.

225600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 225600768 is about 15020.0122503279. The cubic root of 225600768 is about 608.7610506675.

The spelling of 225600768 in words is "two hundred twenty-five million, six hundred thousand, seven hundred sixty-eight".