224676064 has 48 divisors (see below), whose sum is σ = 477020880. Its totient is φ = 103818240.

The previous prime is 224676061. The next prime is 224676077. The reversal of 224676064 is 460676422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224676061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20422 + ... + 29434.

It is an arithmetic number, because the mean of its divisors is an integer number (9937935).

Almost surely, 2^224676064 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 224676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238510440).

224676064 is an abundant number, since it is smaller than the sum of its proper divisors (252344816).

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

224676064 is a wasteful number, since it uses less digits than its factorization.

224676064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 224676064 is about 14989.1982440690. The cubic root of 224676064 is about 607.9281713391.

The spelling of 224676064 in words is "two hundred twenty-four million, six hundred seventy-six thousand, sixty-four".