224689680 has 320 divisors, whose sum is σ = 851731200. Its totient is φ = 54190080.

The previous prime is 224689679. The next prime is 224689681. The reversal of 224689680 is 86986422.

224689680 is a `hidden beast` number, since 22 + 468 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (224689679) and next prime (224689681).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224689681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1064775 + ... + 1064985.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 2^224689680 is an apocalyptic number.

224689680 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 224689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425865600).

224689680 is an abundant number, since it is smaller than the sum of its proper divisors (627041520).

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

224689680 is a wasteful number, since it uses less digits than its factorization.

224689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 224689680 is about 14989.6524309271. The cubic root of 224689680 is about 607.9404518088.

The spelling of 224689680 in words is "two hundred twenty-four million, six hundred eighty-nine thousand, six hundred eighty".