225678096 has 160 divisors (see below), whose sum is σ = 760705280. Its totient is φ = 62705664.

The previous prime is 225678091. The next prime is 225678097. The reversal of 225678096 is 690876522.

225678096 is a `hidden beast` number, since 2 + 2 + 567 + 80 + 9 + 6 = 666.

225678096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225678091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110880 + ... + 112896.

It is an arithmetic number, because the mean of its divisors is an integer number (4754408).

Almost surely, 2^225678096 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 225678096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380352640).

225678096 is an abundant number, since it is smaller than the sum of its proper divisors (535027184).

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

225678096 is a wasteful number, since it uses less digits than its factorization.

225678096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 225678096 is about 15022.5861954592. The cubic root of 225678096 is about 608.8305966735.

The spelling of 225678096 in words is "two hundred twenty-five million, six hundred seventy-eight thousand, ninety-six".