224680368 has 80 divisors (see below), whose sum is σ = 636959232. Its totient is φ = 67680000.

The previous prime is 224680321. The next prime is 224680397. The reversal of 224680368 is 863086422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94393 + ... + 96743.

Almost surely, 2^224680368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318479616).

224680368 is an abundant number, since it is smaller than the sum of its proper divisors (412278864).

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

224680368 is a wasteful number, since it uses less digits than its factorization.

224680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 224680368 is about 14989.3418134353. The cubic root of 224680368 is about 607.9320532333.

The spelling of 224680368 in words is "two hundred twenty-four million, six hundred eighty thousand, three hundred sixty-eight".