223680 has 56 divisors (see below), whose sum is σ = 713232. Its totient is φ = 59392.
The previous prime is 223679. The next prime is 223681. The reversal of 223680 is 86322.
It is an interprime number because it is at equal distance from previous prime (223679) and next prime (223681).
It is a nialpdrome in base 6 and base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223681) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 1076.
2223680 is an apocalyptic number.
223680 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 223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).
223680 is an abundant number, since it is smaller than the sum of its proper divisors (489552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223680 is a wasteful number, since it uses less digits than its factorization.
223680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 253 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 223680 is about 472.9482001234. The cubic root of 223680 is about 60.7028457602.
It can be divided in two parts, 223 and 680, that added together give a triangular number (903 = T42).
The spelling of 223680 in words is "two hundred twenty-three thousand, six hundred eighty".
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