223728960 has 336 divisors, whose sum is σ = 883529856. Its totient is φ = 46964736.

The previous prime is 223728949. The next prime is 223728961. The reversal of 223728960 is 69827322.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223728961) 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 47 ways as a sum of consecutive naturals, for example, 1135582 + ... + 1135778.

Almost surely, 2^223728960 is an apocalyptic number.

223728960 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 223728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441764928).

223728960 is an abundant number, since it is smaller than the sum of its proper divisors (659800896).

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

223728960 is a wasteful number, since it uses less digits than its factorization.

223728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 223728960 is about 14957.5719954811. The cubic root of 223728960 is about 607.0727440012.

The spelling of 223728960 in words is "two hundred twenty-three million, seven hundred twenty-eight thousand, nine hundred sixty".