198191052 has 72 divisors (see below), whose sum is σ = 533856960. Its totient is φ = 61814880.

The previous prime is 198191051. The next prime is 198191087. The reversal of 198191052 is 250191891.

198191052 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 198190998 and 198191016.

It is not an unprimeable number, because it can be changed into a prime (198191051) 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, 55027 + ... + 58517.

It is an arithmetic number, because the mean of its divisors is an integer number (7414680).

Almost surely, 2^198191052 is an apocalyptic number.

198191052 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 198191052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266928480).

198191052 is an abundant number, since it is smaller than the sum of its proper divisors (335665908).

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

198191052 is a wasteful number, since it uses less digits than its factorization.

198191052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 198191052 is about 14078.0343798415. The cubic root of 198191052 is about 583.0350730665.

The spelling of 198191052 in words is "one hundred ninety-eight million, one hundred ninety-one thousand, fifty-two".