223600768 has 64 divisors (see below), whose sum is σ = 472561920. Its totient is φ = 105200640.

The previous prime is 223600753. The next prime is 223600787. The reversal of 223600768 is 867006322.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 146055 + ... + 147577.

It is an arithmetic number, because the mean of its divisors is an integer number (7383780).

Almost surely, 2^223600768 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 223600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236280960).

223600768 is an abundant number, since it is smaller than the sum of its proper divisors (248961152).

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

223600768 is a wasteful number, since it uses less digits than its factorization.

223600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 223600768 is about 14953.2861940110. The cubic root of 223600768 is about 606.9567752007.

The spelling of 223600768 in words is "two hundred twenty-three million, six hundred thousand, seven hundred sixty-eight".