198542736 has 120 divisors (see below), whose sum is σ = 637887744. Its totient is φ = 56471040.

The previous prime is 198542657. The next prime is 198542749. The reversal of 198542736 is 637245891.

198542736 is a `hidden beast` number, since 198 + 5 + 427 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 198542691 and 198542700.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 434220 + ... + 434676.

Almost surely, 2^198542736 is an apocalyptic number.

198542736 is a gapful number since it is divisible by the number (16) 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 198542736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318943872).

198542736 is an abundant number, since it is smaller than the sum of its proper divisors (439345008).

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

198542736 is a wasteful number, since it uses less digits than its factorization.

198542736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 198542736 is about 14090.5193658715. The cubic root of 198542736 is about 583.3797286273.

The spelling of 198542736 in words is "one hundred ninety-eight million, five hundred forty-two thousand, seven hundred thirty-six".