225790608 has 80 divisors (see below), whose sum is σ = 616960512. Its totient is φ = 71040000.

The previous prime is 225790571. The next prime is 225790637. The reversal of 225790608 is 806097522.

It is a happy number.

It is a super-3 number, since 3×225790608³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59158 + ... + 62858.

Almost surely, 2^225790608 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 225790608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308480256).

225790608 is an abundant number, since it is smaller than the sum of its proper divisors (391169904).

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

225790608 is a wasteful number, since it uses less digits than its factorization.

225790608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 225790608 is about 15026.3304901762. The cubic root of 225790608 is about 608.9317575286.

The spelling of 225790608 in words is "two hundred twenty-five million, seven hundred ninety thousand, six hundred eight".