198380160 has 384 divisors, whose sum is σ = 779051520. Its totient is φ = 46080000.

The previous prime is 198380153. The next prime is 198380173. The reversal of 198380160 is 61083891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964110 + ... + 1964210.

It is an arithmetic number, because the mean of its divisors is an integer number (2028780).

Almost surely, 2^198380160 is an apocalyptic number.

198380160 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 198380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389525760).

198380160 is an abundant number, since it is smaller than the sum of its proper divisors (580671360).

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

198380160 is a wasteful number, since it uses less digits than its factorization.

198380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198380160 is about 14084.7491990450. The cubic root of 198380160 is about 583.2204523528.

The spelling of 198380160 in words is "one hundred ninety-eight million, three hundred eighty thousand, one hundred sixty".