198123360 has 192 divisors, whose sum is σ = 662618880. Its totient is φ = 49674240.

The previous prime is 198123353. The next prime is 198123391. The reversal of 198123360 is 63321891.

It is a super-3 number, since 3×198123360³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598395 + ... + 598725.

It is an arithmetic number, because the mean of its divisors is an integer number (3451140).

Almost surely, 2^198123360 is an apocalyptic number.

198123360 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 198123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331309440).

198123360 is an abundant number, since it is smaller than the sum of its proper divisors (464495520).

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

198123360 is a wasteful number, since it uses less digits than its factorization.

198123360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 198123360 is about 14075.6300036624. The cubic root of 198123360 is about 582.9686871156.

The spelling of 198123360 in words is "one hundred ninety-eight million, one hundred twenty-three thousand, three hundred sixty".