198732192 has 96 divisors (see below), whose sum is σ = 537243840. Its totient is φ = 64296960.

The previous prime is 198732181. The next prime is 198732199. The reversal of 198732192 is 291237891.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (54432) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (198732199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707092 + ... + 707372.

It is an arithmetic number, because the mean of its divisors is an integer number (5596290).

Almost surely, 2^198732192 is an apocalyptic number.

198732192 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 198732192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268621920).

198732192 is an abundant number, since it is smaller than the sum of its proper divisors (338511648).

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

198732192 is a wasteful number, since it uses less digits than its factorization.

198732192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 198732192 is about 14097.2405810499. The cubic root of 198732192 is about 583.5652296690.

The spelling of 198732192 in words is "one hundred ninety-eight million, seven hundred thirty-two thousand, one hundred ninety-two".