198652320 has 288 divisors, whose sum is σ = 721768320. Its totient is φ = 49674240.

The previous prime is 198652319. The next prime is 198652331. The reversal of 198652320 is 23256891.

198652320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797885 + ... + 2797955.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^198652320 is an apocalyptic number.

198652320 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 198652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

198652320 is an abundant number, since it is smaller than the sum of its proper divisors (523116000).

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

198652320 is a wasteful number, since it uses less digits than its factorization.

198652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 198652320 is about 14094.4074015192. The cubic root of 198652320 is about 583.4870394048.

The spelling of 198652320 in words is "one hundred ninety-eight million, six hundred fifty-two thousand, three hundred twenty".