224680 has 32 divisors (see below), whose sum is σ = 521640. Its totient is φ = 87040.

The previous prime is 224677. The next prime is 224683. The reversal of 224680 is 86422.

It is an interprime number because it is at equal distance from previous prime (224677) and next prime (224683).

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 93636 = 362^2 + 306^2 .

It is a super-2 number, since 2×224680² = 100962204800, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224683) 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, 1572 + ... + 1708.

2²²⁴⁶⁸⁰ is an apocalyptic number.

224680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224680 is the 274-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260820).

224680 is an abundant number, since it is smaller than the sum of its proper divisors (296960).

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

224680 is a wasteful number, since it uses less digits than its factorization.

224680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 224680 is about 474.0042193905. The cubic root of 224680 is about 60.7931721326.

The spelling of 224680 in words is "two hundred twenty-four thousand, six hundred eighty".