198087768 has 192 divisors, whose sum is σ = 608025600. Its totient is φ = 60186240.

The previous prime is 198087767. The next prime is 198087779. The reversal of 198087768 is 867780891.

198087768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198087767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144930 + ... + 1145102.

It is an arithmetic number, because the mean of its divisors is an integer number (3166800).

Almost surely, 2^198087768 is an apocalyptic number.

198087768 is a gapful number since it is divisible by the number (18) 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 198087768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304012800).

198087768 is an abundant number, since it is smaller than the sum of its proper divisors (409937832).

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

198087768 is a wasteful number, since it uses less digits than its factorization.

198087768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 198087768 is about 14074.3656340170. The cubic root of 198087768 is about 582.9337757619.

The spelling of 198087768 in words is "one hundred ninety-eight million, eighty-seven thousand, seven hundred sixty-eight".