225680670 has 96 divisors (see below), whose sum is σ = 621204480. Its totient is φ = 56687040.

The previous prime is 225680659. The next prime is 225680701. The reversal of 225680670 is 76086522.

225680670 is a `hidden beast` number, since 22 + 568 + 0 + 6 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463167 + ... + 463653.

It is an arithmetic number, because the mean of its divisors is an integer number (6470880).

Almost surely, 2^225680670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225680670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310602240).

225680670 is an abundant number, since it is smaller than the sum of its proper divisors (395523810).

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

225680670 is a wasteful number, since it uses less digits than its factorization.

225680670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

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

The square root of 225680670 is about 15022.6718662161. The cubic root of 225680670 is about 608.8329113627.

The spelling of 225680670 in words is "two hundred twenty-five million, six hundred eighty thousand, six hundred seventy".