198018400 has 72 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 78543360.

The previous prime is 198018391. The next prime is 198018449. The reversal of 198018400 is 4810891.

It is a super-2 number, since 2×198018400² = 78422573477120000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 100626 + ... + 102574.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2^198018400 is an apocalyptic number.

198018400 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 198018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

198018400 is an abundant number, since it is smaller than the sum of its proper divisors (289450400).

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

198018400 is a wasteful number, since it uses less digits than its factorization.

198018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 198018400 is about 14071.9010798115. The cubic root of 198018400 is about 582.8657223065.

The spelling of 198018400 in words is "one hundred ninety-eight million, eighteen thousand, four hundred".