225680 has 80 divisors (see below), whose sum is σ = 666624. Its totient is φ = 69120.

The previous prime is 225671. The next prime is 225683. The reversal of 225680 is 86522.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (225683) by changing a digit.

225680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7265 + ... + 7295.

2²²⁵⁶⁸⁰ is an apocalyptic number.

225680 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 225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

225680 is an abundant number, since it is smaller than the sum of its proper divisors (440944).

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

225680 is a wasteful number, since it uses less digits than its factorization.

225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 225680 is about 475.0578912091. The cubic root of 225680 is about 60.8832308862.

It can be divided in two parts, 2 and 25680, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 225680 in words is "two hundred twenty-five thousand, six hundred eighty".