219648 has 80 divisors (see below), whose sum is σ = 687456. Its totient is φ = 61440.

The previous prime is 219647. The next prime is 219649. The reversal of 219648 is 846912.

It is an interprime number because it is at equal distance from previous prime (219647) and next prime (219649).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (219647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16890 + ... + 16902.

2²¹⁹⁶⁴⁸ 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 219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728).

219648 is an abundant number, since it is smaller than the sum of its proper divisors (467808).

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

219648 is a wasteful number, since it uses less digits than its factorization.

219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 219648 is about 468.6661925081. Note that the first 3 decimals coincide. The cubic root of 219648 is about 60.3358938574.

Subtracting 219648 from its reverse (846912), we obtain a square (627264 = 792²).

It can be divided in two parts, 21 and 9648, that added together give a palindrome (9669).

The spelling of 219648 in words is "two hundred nineteen thousand, six hundred forty-eight".