198787680 has 576 divisors, whose sum is σ = 878387328. Its totient is φ = 39813120.

The previous prime is 198787669. The next prime is 198787691. The reversal of 198787680 is 86787891.

It is an interprime number because it is at equal distance from previous prime (198787669) and next prime (198787691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4848460 + ... + 4848500.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^198787680 is an apocalyptic number.

198787680 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 198787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439193664).

198787680 is an abundant number, since it is smaller than the sum of its proper divisors (679599648).

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

198787680 is a wasteful number, since it uses less digits than its factorization.

198787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 198787680 is about 14099.2084884223. The cubic root of 198787680 is about 583.6195370158.

The spelling of 198787680 in words is "one hundred ninety-eight million, seven hundred eighty-seven thousand, six hundred eighty".