198174960 has 240 divisors, whose sum is σ = 703463904. Its totient is φ = 49932288.

The previous prime is 198174953. The next prime is 198174961. The reversal of 198174960 is 69471891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198174961) 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 47 ways as a sum of consecutive naturals, for example, 1145434 + ... + 1145606.

Almost surely, 2^198174960 is an apocalyptic number.

198174960 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 198174960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351731952).

198174960 is an abundant number, since it is smaller than the sum of its proper divisors (505288944).

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

198174960 is a wasteful number, since it uses less digits than its factorization.

198174960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 198174960 is about 14077.4628395887. The cubic root of 198174960 is about 583.0192929152.

The spelling of 198174960 in words is "one hundred ninety-eight million, one hundred seventy-four thousand, nine hundred sixty".