198226560 has 320 divisors, whose sum is σ = 754253280. Its totient is φ = 44255232.

The previous prime is 198226547. The next prime is 198226573. The reversal of 198226560 is 65622891.

It is an interprime number because it is at equal distance from previous prime (198226547) and next prime (198226573).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4609899 + ... + 4609941.

Almost surely, 2^198226560 is an apocalyptic number.

198226560 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 198226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377126640).

198226560 is an abundant number, since it is smaller than the sum of its proper divisors (556026720).

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

198226560 is an frugal number, since it uses more digits than its factorization.

198226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 198226560 is about 14079.2954369173. The cubic root of 198226560 is about 583.0698899312.

The spelling of 198226560 in words is "one hundred ninety-eight million, two hundred twenty-six thousand, five hundred sixty".