198648 has 48 divisors (see below), whose sum is σ = 561600. Its totient is φ = 63360.

The previous prime is 198647. The next prime is 198659. The reversal of 198648 is 846891.

It is a happy number.

198648 is a `hidden beast` number, since 1 + 9 + 8 + 648 = 666.

198648 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×198648² = 78922055808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198648.

It is not an unprimeable number, because it can be changed into a prime (198641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2188 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2¹⁹⁸⁶⁴⁸ is an apocalyptic number.

198648 is a gapful number since it is divisible by the number (18) 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 198648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

198648 is an abundant number, since it is smaller than the sum of its proper divisors (362952).

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

198648 is a wasteful number, since it uses less digits than its factorization.

198648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 198648 is about 445.6994503026. The cubic root of 198648 is about 58.3482809767.

The spelling of 198648 in words is "one hundred ninety-eight thousand, six hundred forty-eight".