199098000 has 200 divisors, whose sum is σ = 719741880. Its totient is φ = 53049600.

The previous prime is 199097989. The next prime is 199098023. The reversal of 199098000 is 890991.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 196112016 = 1728^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161386 + ... + 162614.

Almost surely, 2^199098000 is an apocalyptic number.

199098000 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 199098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359870940).

199098000 is an abundant number, since it is smaller than the sum of its proper divisors (520643880).

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

199098000 is a wasteful number, since it uses less digits than its factorization.

199098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199098000 is about 14110.2090700315. The cubic root of 199098000 is about 583.9230679919.

The spelling of 199098000 in words is "one hundred ninety-nine million, ninety-eight thousand".