198798720 has 128 divisors (see below), whose sum is σ = 647447040. Its totient is φ = 51861504.

The previous prime is 198798689. The next prime is 198798737. The reversal of 198798720 is 27897891.

198798720 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89139 + ... + 91341.

It is an arithmetic number, because the mean of its divisors is an integer number (5058180).

Almost surely, 2^198798720 is an apocalyptic number.

198798720 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 198798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323723520).

198798720 is an abundant number, since it is smaller than the sum of its proper divisors (448648320).

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

198798720 is a wasteful number, since it uses less digits than its factorization.

198798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 198798720 is about 14099.5999943261. The cubic root of 198798720 is about 583.6303409054.

The spelling of 198798720 in words is "one hundred ninety-eight million, seven hundred ninety-eight thousand, seven hundred twenty".