198756 has 18 divisors (see below), whose sum is σ = 502502. Its totient is φ = 66240.

The previous prime is 198733. The next prime is 198761. The reversal of 198756 is 657891.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 46656 = 390^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5521 = 198756 / (1 + 9 + 8 + 7 + 5 + 6).

It is an Ulam number.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 198756.

It is an unprimeable number.

198756 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 5 ways as a sum of consecutive naturals, for example, 2725 + ... + 2796.

2¹⁹⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

198756 is an abundant number, since it is smaller than the sum of its proper divisors (303746).

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

198756 is a wasteful number, since it uses less digits than its factorization.

198756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5526 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 198756 is about 445.8205917182. The cubic root of 198756 is about 58.3588532329.

It can be divided in two parts, 19875 and 6, that added together give a square (19881 = 141²).

The spelling of 198756 in words is "one hundred ninety-eight thousand, seven hundred fifty-six".