225605760 has 64 divisors (see below), whose sum is σ = 719124480. Its totient is φ = 60161024.

The previous prime is 225605749. The next prime is 225605777. The reversal of 225605760 is 67506522.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56832 + ... + 60671.

It is an arithmetic number, because the mean of its divisors is an integer number (11236320).

Almost surely, 2^225605760 is an apocalyptic number.

225605760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225605760 is an abundant number, since it is smaller than the sum of its proper divisors (493518720).

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

225605760 is a wasteful number, since it uses less digits than its factorization.

225605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117525 (or 117513 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 225605760 is about 15020.1784277018. The cubic root of 225605760 is about 608.7655407715.

The spelling of 225605760 in words is "two hundred twenty-five million, six hundred five thousand, seven hundred sixty".