198612 has 30 divisors (see below), whose sum is σ = 520058. Its totient is φ = 66096.

The previous prime is 198599. The next prime is 198613. The reversal of 198612 is 216891.

198612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 93636 = 324^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198613) by changing a digit.

198612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18 + ... + 630.

2¹⁹⁸⁶¹² is an apocalyptic number.

198612 is a gapful number since it is divisible by the number (12) 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 198612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260029).

198612 is an abundant number, since it is smaller than the sum of its proper divisors (321446).

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

198612 is a wasteful number, since it uses less digits than its factorization.

198612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 198612 is about 445.6590625130. The cubic root of 198612 is about 58.3447560397.

It can be divided in two parts, 1986 and 12, that multiplied together give a palindrome (23832).

The spelling of 198612 in words is "one hundred ninety-eight thousand, six hundred twelve".