198936 has 40 divisors (see below), whose sum is σ = 559020. Its totient is φ = 66096.

The previous prime is 198929. The next prime is 198937. The reversal of 198936 is 639891.

198936 = T₂₁₉ + T₂₂₀ + ... + T₂₂₆.

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 a self number, because there is not a number n which added to its sum of digits gives 198936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198937) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 495 + ... + 801.

2¹⁹⁸⁹³⁶ 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 198936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279510).

198936 is an abundant number, since it is smaller than the sum of its proper divisors (360084).

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

198936 is a wasteful number, since it uses less digits than its factorization.

198936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 198936 is about 446.0224209611. The cubic root of 198936 is about 58.3764651525.

It can be divided in two parts, 1989 and 36, that added together give a square (2025 = 45²).

The spelling of 198936 in words is "one hundred ninety-eight thousand, nine hundred thirty-six".