198717408 has 96 divisors (see below), whose sum is σ = 584478720. Its totient is φ = 65681280.

The previous prime is 198717317. The next prime is 198717433. The reversal of 198717408 is 804717891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108823 + ... + 110633.

It is an arithmetic number, because the mean of its divisors is an integer number (6088320).

Almost surely, 2^198717408 is an apocalyptic number.

198717408 is a gapful number since it is divisible by the number (18) 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 198717408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292239360).

198717408 is an abundant number, since it is smaller than the sum of its proper divisors (385761312).

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

198717408 is a wasteful number, since it uses less digits than its factorization.

198717408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 198717408 is about 14096.7162133598. The cubic root of 198717408 is about 583.5507585320.

The spelling of 198717408 in words is "one hundred ninety-eight million, seven hundred seventeen thousand, four hundred eight".