225624960 has 256 divisors, whose sum is σ = 872467200. Its totient is φ = 54650880.

The previous prime is 225624947. The next prime is 225624967. The reversal of 225624960 is 69426522.

225624960 is a `hidden beast` number, since 2 + 2 + 562 + 4 + 96 + 0 = 666.

225624960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (225624967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189487 + ... + 190673.

It is an arithmetic number, because the mean of its divisors is an integer number (3408075).

Almost surely, 2^225624960 is an apocalyptic number.

225624960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436233600).

225624960 is an abundant number, since it is smaller than the sum of its proper divisors (646842240).

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

225624960 is a wasteful number, since it uses less digits than its factorization.

225624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 225624960 is about 15020.8175543144. The cubic root of 225624960 is about 608.7828097851.

The spelling of 225624960 in words is "two hundred twenty-five million, six hundred twenty-four thousand, nine hundred sixty".