198592 has 28 divisors (see below), whose sum is σ = 411480. Its totient is φ = 94976.

The previous prime is 198589. The next prime is 198593. The reversal of 198592 is 295891.

It is a cake number, because a cake can be divided into 198592 parts by 106 planar cuts.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1803 + ... + 1909.

2¹⁹⁸⁵⁹² 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 198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205740).

198592 is an abundant number, since it is smaller than the sum of its proper divisors (212888).

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

198592 is a wasteful number, since it uses less digits than its factorization.

198592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 6480, while the sum is 34.

The square root of 198592 is about 445.6366232706. The cubic root of 198592 is about 58.3427975574.

The spelling of 198592 in words is "one hundred ninety-eight thousand, five hundred ninety-two".