221168 has 20 divisors (see below), whose sum is σ = 447888. Its totient is φ = 105600.

The previous prime is 221159. The next prime is 221171. The reversal of 221168 is 861122.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

221168 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, 68 + ... + 668.

2²²¹¹⁶⁸ 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 221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223944).

221168 is an abundant number, since it is smaller than the sum of its proper divisors (226720).

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

221168 is a wasteful number, since it uses less digits than its factorization.

221168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 221168 is about 470.2850199613. The cubic root of 221168 is about 60.4747521178.

It can be divided in two parts, 221 and 168, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 221168 in words is "two hundred twenty-one thousand, one hundred sixty-eight".