198588672 has 180 divisors, whose sum is σ = 605696476. Its totient is φ = 64696320.

The previous prime is 198588671. The next prime is 198588673. The reversal of 198588672 is 276885891.

It is an interprime number because it is at equal distance from previous prime (198588671) and next prime (198588673).

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 171714816 = 5184^2 + 13104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (198588671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1264818 + ... + 1264974.

Almost surely, 2^198588672 is an apocalyptic number.

198588672 is a gapful number since it is divisible by the number (12) 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 198588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302848238).

198588672 is an abundant number, since it is smaller than the sum of its proper divisors (407107804).

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

198588672 is an equidigital number, since it uses as much as digits as its factorization.

198588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 198588672 is about 14092.1493037790. The cubic root of 198588672 is about 583.4247165315.

The spelling of 198588672 in words is "one hundred ninety-eight million, five hundred eighty-eight thousand, six hundred seventy-two".