224806960 has 80 divisors (see below), whose sum is σ = 607228992. Its totient is φ = 75801600.

The previous prime is 224806957. The next prime is 224807003. The reversal of 224806960 is 69608422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30870 + ... + 37450.

Almost surely, 2^224806960 is an apocalyptic number.

224806960 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 224806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303614496).

224806960 is an abundant number, since it is smaller than the sum of its proper divisors (382422032).

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

224806960 is a wasteful number, since it uses less digits than its factorization.

224806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 224806960 is about 14993.5639525765. The cubic root of 224806960 is about 608.0462078224.

The spelling of 224806960 in words is "two hundred twenty-four million, eight hundred six thousand, nine hundred sixty".