198735360 has 160 divisors (see below), whose sum is σ = 643753440. Its totient is φ = 52297728.

The previous prime is 198735359. The next prime is 198735367. The reversal of 198735360 is 63537891.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198735367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867726 + ... + 867954.

It is an arithmetic number, because the mean of its divisors is an integer number (4023459).

Almost surely, 2^198735360 is an apocalyptic number.

198735360 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 198735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321876720).

198735360 is an abundant number, since it is smaller than the sum of its proper divisors (445018080).

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

198735360 is a wasteful number, since it uses less digits than its factorization.

198735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 198735360 is about 14097.3529430174. The cubic root of 198735360 is about 583.5683305335.

The spelling of 198735360 in words is "one hundred ninety-eight million, seven hundred thirty-five thousand, three hundred sixty".