198686376 has 144 divisors (see below), whose sum is σ = 631332000. Its totient is φ = 56282688.

The previous prime is 198686353. The next prime is 198686377. The reversal of 198686376 is 673686891.

It is a happy number.

198686376 is a `hidden beast` number, since 198 + 6 + 86 + 376 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (198686377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 701931 + ... + 702213.

It is an arithmetic number, because the mean of its divisors is an integer number (4384250).

Almost surely, 2^198686376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198686376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315666000).

198686376 is an abundant number, since it is smaller than the sum of its proper divisors (432645624).

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

198686376 is a wasteful number, since it uses less digits than its factorization.

198686376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 198686376 is about 14095.6154885127. The cubic root of 198686376 is about 583.5203809051.

It can be divided in two parts, 19868 and 6376, that added together give a square (26244 = 162²).

The spelling of 198686376 in words is "one hundred ninety-eight million, six hundred eighty-six thousand, three hundred seventy-six".