199656 has 48 divisors (see below), whose sum is σ = 561600. Its totient is φ = 64032.

The previous prime is 199637. The next prime is 199657. The reversal of 199656 is 656991.

199656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 199656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199657) 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, 3355 + ... + 3413.

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

2¹⁹⁹⁶⁵⁶ 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 199656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

199656 is an abundant number, since it is smaller than the sum of its proper divisors (361944).

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

199656 is a wasteful number, since it uses less digits than its factorization.

199656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 199656 is about 446.8288262859. The cubic root of 199656 is about 58.4468067860.

The spelling of 199656 in words is "one hundred ninety-nine thousand, six hundred fifty-six".