198831360 has 288 divisors, whose sum is σ = 782933760. Its totient is φ = 41877504.

The previous prime is 198831331. The next prime is 198831361. The reversal of 198831360 is 63138891.

198831360 = 266² + 267² + ... + 850².

198831360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198831361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349156 + ... + 349724.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^198831360 is an apocalyptic number.

198831360 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 198831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

198831360 is an abundant number, since it is smaller than the sum of its proper divisors (584102400).

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

198831360 is a wasteful number, since it uses less digits than its factorization.

198831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 198831360 is about 14100.7574264647. The cubic root of 198831360 is about 583.6622805005.

The spelling of 198831360 in words is "one hundred ninety-eight million, eight hundred thirty-one thousand, three hundred sixty".