225696576 has 112 divisors (see below), whose sum is σ = 685938176. Its totient is φ = 64157184.

The previous prime is 225696563. The next prime is 225696617. The reversal of 225696576 is 675696522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412335 + ... + 412881.

It is an arithmetic number, because the mean of its divisors is an integer number (6124448).

Almost surely, 2^225696576 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 225696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342969088).

225696576 is an abundant number, since it is smaller than the sum of its proper divisors (460241600).

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

225696576 is a wasteful number, since it uses less digits than its factorization.

225696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 225696576 is about 15023.2012567229. The cubic root of 225696576 is about 608.8472145650.

The spelling of 225696576 in words is "two hundred twenty-five million, six hundred ninety-six thousand, five hundred seventy-six".