221676 has 72 divisors (see below), whose sum is σ = 670320. Its totient is φ = 56448.

The previous prime is 221671. The next prime is 221677. The reversal of 221676 is 676122.

It is a happy number.

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

Its product of digits (1008) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7630 + ... + 7658.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2²²¹⁶⁷⁶ is an apocalyptic number.

221676 is a gapful number since it is divisible by the number (26) 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 221676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

221676 is an abundant number, since it is smaller than the sum of its proper divisors (448644).

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

221676 is a wasteful number, since it uses less digits than its factorization.

221676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 54 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 221676 is about 470.8248081824. The cubic root of 221676 is about 60.5210181282.

Adding to 221676 its reverse (676122), we get a palindrome (897798).

The spelling of 221676 in words is "two hundred twenty-one thousand, six hundred seventy-six".