198874000 has 80 divisors (see below), whose sum is σ = 517935600. Its totient is φ = 73420800.

The previous prime is 198873989. The next prime is 198874003. The reversal of 198874000 is 478891.

198874000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 156050064 + 42823936 = 12492^2 + 6544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (198874003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22176 + ... + 29824.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^198874000 is an apocalyptic number.

198874000 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 198874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

198874000 is an abundant number, since it is smaller than the sum of its proper divisors (319061600).

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

198874000 is a wasteful number, since it uses less digits than its factorization.

198874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 198874000 is about 14102.2693209285. The cubic root of 198874000 is about 583.7040002453.

The spelling of 198874000 in words is "one hundred ninety-eight million, eight hundred seventy-four thousand".