225648560 has 80 divisors (see below), whose sum is σ = 562865760. Its totient is φ = 83865600.

The previous prime is 225648559. The next prime is 225648581. The reversal of 225648560 is 65846522.

225648560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79160 + ... + 81960.

It is an arithmetic number, because the mean of its divisors is an integer number (7035822).

Almost surely, 2^225648560 is an apocalyptic number.

225648560 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 225648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281432880).

225648560 is an abundant number, since it is smaller than the sum of its proper divisors (337217200).

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

225648560 is a wasteful number, since it uses less digits than its factorization.

225648560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 225648560 is about 15021.6031101877. The cubic root of 225648560 is about 608.8040349389.

The spelling of 225648560 in words is "two hundred twenty-five million, six hundred forty-eight thousand, five hundred sixty".