198192032 has 48 divisors (see below), whose sum is σ = 413569800. Its totient is φ = 93327360.

The previous prime is 198192023. The next prime is 198192037. The reversal of 198192032 is 230291891.

It can be written as a sum of positive squares in 4 ways, for example, as 176252176 + 21939856 = 13276^2 + 4684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 198191983 and 198192001.

It is not an unprimeable number, because it can be changed into a prime (198192037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35444 + ... + 40652.

Almost surely, 2^198192032 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 198192032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206784900).

198192032 is an abundant number, since it is smaller than the sum of its proper divisors (215377768).

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

198192032 is a wasteful number, since it uses less digits than its factorization.

198192032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 198192032 is about 14078.0691857939. The cubic root of 198192032 is about 583.0360340474.

The spelling of 198192032 in words is "one hundred ninety-eight million, one hundred ninety-two thousand, thirty-two".