221760 has 168 divisors, whose sum is σ = 950976. Its totient is φ = 46080.

The previous prime is 221747. The next prime is 221773. The reversal of 221760 is 67122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221747) and next prime (221773).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is an unprimeable number.

221760 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 23 ways as a sum of consecutive naturals, for example, 20155 + ... + 20165.

221760 is a highly composite number, because it has more divisors than any smaller number.

2²²¹⁷⁶⁰ is an apocalyptic number.

221760 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 221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

221760 is an abundant number, since it is smaller than the sum of its proper divisors (729216).

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

221760 is a wasteful number, since it uses less digits than its factorization.

221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 221760 is about 470.9140048884. The cubic root of 221760 is about 60.5286616011.

Adding to 221760 its reverse (67122), we get a palindrome (288882).

The spelling of 221760 in words is "two hundred twenty-one thousand, seven hundred sixty".