198156960 has 288 divisors, whose sum is σ = 732146688. Its totient is φ = 48660480.

The previous prime is 198156919. The next prime is 198156979. The reversal of 198156960 is 69651891.

198156960 is a `hidden beast` number, since 1 + 9 + 81 + 569 + 6 + 0 = 666.

198156960 is digitally balanced in base 2 and base 3, because in such bases 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 (45).

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, 1026624 + ... + 1026816.

It is an arithmetic number, because the mean of its divisors is an integer number (2542176).

Almost surely, 2^198156960 is an apocalyptic number.

198156960 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 198156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366073344).

198156960 is an abundant number, since it is smaller than the sum of its proper divisors (533989728).

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

198156960 is a wasteful number, since it uses less digits than its factorization.

198156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 198156960 is about 14076.8235053225. The cubic root of 198156960 is about 583.0016407271.

The spelling of 198156960 in words is "one hundred ninety-eight million, one hundred fifty-six thousand, nine hundred sixty".