199648 has 24 divisors (see below), whose sum is σ = 417312. Its totient is φ = 93696.

The previous prime is 199637. The next prime is 199657. The reversal of 199648 is 846991.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (17388).

2¹⁹⁹⁶⁴⁸ 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 199648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656).

199648 is an abundant number, since it is smaller than the sum of its proper divisors (217664).

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

199648 is a wasteful number, since it uses less digits than its factorization.

199648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 199648 is about 446.8198742223. The cubic root of 199648 is about 58.4460261421.

The spelling of 199648 in words is "one hundred ninety-nine thousand, six hundred forty-eight".