198518040 has 160 divisors (see below), whose sum is σ = 762648480. Its totient is φ = 45370368.

The previous prime is 198518011. The next prime is 198518041. The reversal of 198518040 is 40815891.

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 = 198517986 and 198518004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198518041) 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 39 ways as a sum of consecutive naturals, for example, 18304 + ... + 27056.

It is an arithmetic number, because the mean of its divisors is an integer number (4766553).

Almost surely, 2^198518040 is an apocalyptic number.

198518040 is a gapful number since it is divisible by the number (10) 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 198518040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381324240).

198518040 is an abundant number, since it is smaller than the sum of its proper divisors (564130440).

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

198518040 is a wasteful number, since it uses less digits than its factorization.

198518040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198518040 is about 14089.6430047038. The cubic root of 198518040 is about 583.3555394721.

The spelling of 198518040 in words is "one hundred ninety-eight million, five hundred eighteen thousand, forty".