224064576 has 112 divisors (see below), whose sum is σ = 664545280. Its totient is φ = 74027520.

The previous prime is 224064541. The next prime is 224064593. The reversal of 224064576 is 675460422.

224064576 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 645 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224064576.

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, 218946 + ... + 219966.

It is an arithmetic number, because the mean of its divisors is an integer number (5933440).

Almost surely, 2^224064576 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 224064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332272640).

224064576 is an abundant number, since it is smaller than the sum of its proper divisors (440480704).

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

224064576 is a wasteful number, since it uses less digits than its factorization.

224064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 224064576 is about 14968.7867243808. The cubic root of 224064576 is about 607.3761491159.

The spelling of 224064576 in words is "two hundred twenty-four million, sixty-four thousand, five hundred seventy-six".