198576 has 60 divisors (see below), whose sum is σ = 638352. Its totient is φ = 56448.

The previous prime is 198571. The next prime is 198589. The reversal of 198576 is 675891.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198571) by changing a digit.

198576 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 11 ways as a sum of consecutive naturals, for example, 910 + ... + 1106.

198576 is a Friedman number, since it can be written as 591*8*7*6, using all its digits and the basic arithmetic operations.

2¹⁹⁸⁵⁷⁶ is an apocalyptic number.

198576 is a gapful number since it is divisible by the number (16) 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 198576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176).

198576 is an abundant number, since it is smaller than the sum of its proper divisors (439776).

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

198576 is a wasteful number, since it uses less digits than its factorization.

198576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

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

The square root of 198576 is about 445.6186710631. The cubic root of 198576 is about 58.3412306768.

The spelling of 198576 in words is "one hundred ninety-eight thousand, five hundred seventy-six".