225992560 has 80 divisors (see below), whose sum is σ = 561901536. Its totient is φ = 84230144.

The previous prime is 225992531. The next prime is 225992561. The reversal of 225992560 is 65299522.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225992561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144744 + ... + 146296.

Almost surely, 2^225992560 is an apocalyptic number.

225992560 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 225992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280950768).

225992560 is an abundant number, since it is smaller than the sum of its proper divisors (335908976).

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

225992560 is a wasteful number, since it uses less digits than its factorization.

225992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 225992560 is about 15033.0489256172. The cubic root of 225992560 is about 609.1132506707.

The spelling of 225992560 in words is "two hundred twenty-five million, nine hundred ninety-two thousand, five hundred sixty".