198616320 has 288 divisors, whose sum is σ = 806480640. Its totient is φ = 45342720.

The previous prime is 198616309. The next prime is 198616343. The reversal of 198616320 is 23616891.

198616320 is a `hidden beast` number, since 1 + 9 + 8 + 616 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 241510 + ... + 242330.

It is an arithmetic number, because the mean of its divisors is an integer number (2800280).

Almost surely, 2^198616320 is an apocalyptic number.

198616320 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 198616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403240320).

198616320 is an abundant number, since it is smaller than the sum of its proper divisors (607864320).

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

198616320 is an equidigital number, since it uses as much as digits as its factorization.

198616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 198616320 is about 14093.1302413623. The cubic root of 198616320 is about 583.4517905465.

The spelling of 198616320 in words is "one hundred ninety-eight million, six hundred sixteen thousand, three hundred twenty".