198034000 has 40 divisors (see below), whose sum is σ = 478851048. Its totient is φ = 79212800.

The previous prime is 198033971. The next prime is 198034051. The reversal of 198034000 is 430891.

It can be written as a sum of positive squares in 4 ways, for example, as 62916624 + 135117376 = 7932^2 + 11624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47509 + ... + 51508.

Almost surely, 2^198034000 is an apocalyptic number.

198034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198034000 is an abundant number, since it is smaller than the sum of its proper divisors (280817048).

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

198034000 is an equidigital number, since it uses as much as digits as its factorization.

198034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99040 (or 99024 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 198034000 is about 14072.4553650029. The cubic root of 198034000 is about 582.8810280668.

Adding to 198034000 its reverse (430891), we get a palindrome (198464891).

The spelling of 198034000 in words is "one hundred ninety-eight million, thirty-four thousand".