198032544 has 72 divisors (see below), whose sum is σ = 576287712. Its totient is φ = 64471680.

The previous prime is 198032543. The next prime is 198032579. The reversal of 198032544 is 445230891.

198032544 is a `hidden beast` number, since 1 + 9 + 80 + 32 + 544 = 666.

198032544 is digitally balanced in base 3, 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 (72).

It is a super-2 number, since 2×198032544² = 78433776966223872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 198032499 and 198032508.

It is not an unprimeable number, because it can be changed into a prime (198032543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4389 + ... + 20379.

It is an arithmetic number, because the mean of its divisors is an integer number (8003996).

Almost surely, 2^198032544 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 198032544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288143856).

198032544 is an abundant number, since it is smaller than the sum of its proper divisors (378255168).

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

198032544 is a wasteful number, since it uses less digits than its factorization.

198032544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16050 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 198032544 is about 14072.4036326422. The cubic root of 198032544 is about 582.8795995632.

The spelling of 198032544 in words is "one hundred ninety-eight million, thirty-two thousand, five hundred forty-four".