198120384 has 224 divisors, whose sum is σ = 726643200. Its totient is φ = 51425280.

The previous prime is 198120361. The next prime is 198120389. The reversal of 198120384 is 483021891.

198120384 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 (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198120389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132312 + ... + 133800.

Almost surely, 2^198120384 is an apocalyptic number.

198120384 is a gapful number since it is divisible by the number (14) 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 198120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363321600).

198120384 is an abundant number, since it is smaller than the sum of its proper divisors (528522816).

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

198120384 is a wasteful number, since it uses less digits than its factorization.

198120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198120384 is about 14075.5242886366. The cubic root of 198120384 is about 582.9657681876.

The spelling of 198120384 in words is "one hundred ninety-eight million, one hundred twenty thousand, three hundred eighty-four".