198930 has 32 divisors (see below), whose sum is σ = 504000. Its totient is φ = 50112.

The previous prime is 198929. The next prime is 198937. The reversal of 198930 is 39891.

It is a happy number.

198930 is digitally balanced in base 3, 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 (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198930.

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 15 ways as a sum of consecutive naturals, for example, 396 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2¹⁹⁸⁹³⁰ is an apocalyptic number.

198930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

198930 is an abundant number, since it is smaller than the sum of its proper divisors (305070).

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

198930 is a wasteful number, since it uses less digits than its factorization.

198930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 198930 is about 446.0156947911. The cubic root of 198930 is about 58.3758782597.

It can be divided in two parts, 198 and 930, that added together give a triangular number (1128 = T₄₇).

The spelling of 198930 in words is "one hundred ninety-eight thousand, nine hundred thirty".