198133632 has 96 divisors (see below), whose sum is σ = 573070680. Its totient is φ = 65707008.

The previous prime is 198133609. The next prime is 198133667. The reversal of 198133632 is 236331891.

198133632 is a `hidden beast` number, since 1 + 9 + 8 + 13 + 3 + 632 = 666.

198133632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×198133632³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337243 + ... + 337829.

Almost surely, 2^198133632 is an apocalyptic number.

198133632 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 198133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286535340).

198133632 is an abundant number, since it is smaller than the sum of its proper divisors (374937048).

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

198133632 is a wasteful number, since it uses less digits than its factorization.

198133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 198133632 is about 14075.9948849096. The cubic root of 198133632 is about 582.9787619008.

It can be divided in two parts, 198133 and 632, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 198133632 in words is "one hundred ninety-eight million, one hundred thirty-three thousand, six hundred thirty-two".