198641940 has 192 divisors, whose sum is σ = 689762304. Its totient is φ = 41674752.

The previous prime is 198641939. The next prime is 198641977. The reversal of 198641940 is 49146891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 198641892 and 198641901.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 306697 + ... + 307343.

It is an arithmetic number, because the mean of its divisors is an integer number (3592512).

Almost surely, 2^198641940 is an apocalyptic number.

198641940 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 198641940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344881152).

198641940 is an abundant number, since it is smaller than the sum of its proper divisors (491120364).

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

198641940 is a wasteful number, since it uses less digits than its factorization.

198641940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 198641940 is about 14094.0391655480. The cubic root of 198641940 is about 583.4768764209.

The spelling of 198641940 in words is "one hundred ninety-eight million, six hundred forty-one thousand, nine hundred forty".