198016560 has 240 divisors, whose sum is σ = 769504320. Its totient is φ = 44697600.

The previous prime is 198016547. The next prime is 198016589. The reversal of 198016560 is 65610891.

198016560 is a `hidden beast` number, since 1 + 9 + 80 + 16 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 508846 + ... + 509234.

It is an arithmetic number, because the mean of its divisors is an integer number (3206268).

Almost surely, 2^198016560 is an apocalyptic number.

198016560 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 198016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384752160).

198016560 is an abundant number, since it is smaller than the sum of its proper divisors (571487760).

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

198016560 is a wasteful number, since it uses less digits than its factorization.

198016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 198016560 is about 14071.8357011443. The cubic root of 198016560 is about 582.8639169587.

The spelling of 198016560 in words is "one hundred ninety-eight million, sixteen thousand, five hundred sixty".