225872640 has 216 divisors, whose sum is σ = 893456928. Its totient is φ = 51609600.

The previous prime is 225872639. The next prime is 225872657. The reversal of 225872640 is 46278522.

225872640 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225872595 and 225872604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79240 + ... + 82040.

Almost surely, 2^225872640 is an apocalyptic number.

225872640 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 225872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446728464).

225872640 is an abundant number, since it is smaller than the sum of its proper divisors (667584288).

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

225872640 is a wasteful number, since it uses less digits than its factorization.

225872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 225872640 is about 15029.0598508356. The cubic root of 225872640 is about 609.0054922782.

The spelling of 225872640 in words is "two hundred twenty-five million, eight hundred seventy-two thousand, six hundred forty".