220648 has 8 divisors (see below), whose sum is σ = 413730. Its totient is φ = 110320.

The previous prime is 220613. The next prime is 220663. The reversal of 220648 is 846022.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 103684 = 342^2 + 322^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13783 + ... + 13798.

2²²⁰⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

220648 is a deficient number, since it is larger than the sum of its proper divisors (193082).

220648 is a wasteful number, since it uses less digits than its factorization.

220648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27587 (or 27583 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 220648 is about 469.7318383929. The cubic root of 220648 is about 60.4273197756.

It can be divided in two parts, 220 and 648, that added together give a palindrome (868).

The spelling of 220648 in words is "two hundred twenty thousand, six hundred forty-eight".