223776 has 96 divisors (see below), whose sum is σ = 766080. Its totient is φ = 62208.

The previous prime is 223759. The next prime is 223781. The reversal of 223776 is 677322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3528) is a multiple of the sum of its prime divisors (49).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is an unprimeable number.

223776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6030 + ... + 6066.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2²²³⁷⁷⁶ 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 223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

223776 is an abundant number, since it is smaller than the sum of its proper divisors (542304).

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

223776 is a wasteful number, since it uses less digits than its factorization.

223776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 223776 is about 473.0496802662. The cubic root of 223776 is about 60.7115287593.

It can be divided in two parts, 223 and 776, that added together give a palindrome (999).

The spelling of 223776 in words is "two hundred twenty-three thousand, seven hundred seventy-six".