227968 has 32 divisors (see below), whose sum is σ = 492660. Its totient is φ = 104448.

The previous prime is 227951. The next prime is 227977. The reversal of 227968 is 869722.

227968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 5184 = 472^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

227968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1596 + ... + 1732.

2²²⁷⁹⁶⁸ 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 227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246330).

227968 is an abundant number, since it is smaller than the sum of its proper divisors (264692).

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

227968 is a wasteful number, since it uses less digits than its factorization.

227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 227968 is about 477.4599459641. The cubic root of 227968 is about 61.0882892438.

The spelling of 227968 in words is "two hundred twenty-seven thousand, nine hundred sixty-eight".