198495360 has 320 divisors, whose sum is σ = 811609920. Its totient is φ = 45287424.

The previous prime is 198495331. The next prime is 198495361. The reversal of 198495360 is 63594891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (198495361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362607 + ... + 363153.

It is an arithmetic number, because the mean of its divisors is an integer number (2536281).

Almost surely, 2^198495360 is an apocalyptic number.

198495360 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 198495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405804960).

198495360 is an abundant number, since it is smaller than the sum of its proper divisors (613114560).

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

198495360 is an equidigital number, since it uses as much as digits as its factorization.

198495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 198495360 is about 14088.8381352048. The cubic root of 198495360 is about 583.3333231746. Note that the first 4 decimals are identical.

It can be divided in two parts, 1984 and 95360, that added together give a square (97344 = 312²).

The spelling of 198495360 in words is "one hundred ninety-eight million, four hundred ninety-five thousand, three hundred sixty".