225760608 has 72 divisors (see below), whose sum is σ = 665807688. Its totient is φ = 75250944.

The previous prime is 225760607. The next prime is 225760627. The reversal of 225760608 is 806067522.

225760608 is a `hidden beast` number, since 22 + 576 + 0 + 60 + 8 = 666.

225760608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (225760607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6741 + ... + 22292.

It is an arithmetic number, because the mean of its divisors is an integer number (9247329).

Almost surely, 2^225760608 is an apocalyptic number.

It is an amenable number.

225760608 is an abundant number, since it is smaller than the sum of its proper divisors (440047080).

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

225760608 is an equidigital number, since it uses as much as digits as its factorization.

225760608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29058 (or 29038 counting only the distinct ones).

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

The square root of 225760608 is about 15025.3322093057. The cubic root of 225760608 is about 608.9047874640.

The spelling of 225760608 in words is "two hundred twenty-five million, seven hundred sixty thousand, six hundred eight".