198014880 has 144 divisors (see below), whose sum is σ = 725669280. Its totient is φ = 45255168.

The previous prime is 198014867. The next prime is 198014881. The reversal of 198014880 is 88410891.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (198014881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19311 + ... + 27729.

It is an arithmetic number, because the mean of its divisors is an integer number (5039370).

Almost surely, 2^198014880 is an apocalyptic number.

198014880 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 198014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362834640).

198014880 is an abundant number, since it is smaller than the sum of its proper divisors (527654400).

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

198014880 is a wasteful number, since it uses less digits than its factorization.

198014880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 198014880 is about 14071.7760073134. The cubic root of 198014880 is about 582.8622685879.

The spelling of 198014880 in words is "one hundred ninety-eight million, fourteen thousand, eight hundred eighty".