198158800 has 240 divisors, whose sum is σ = 604461312. Its totient is φ = 60825600.

The previous prime is 198158797. The next prime is 198158801. The reversal of 198158800 is 8851891.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198158801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094710 + ... + 1094890.

Almost surely, 2^198158800 is an apocalyptic number.

198158800 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 198158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230656).

198158800 is an abundant number, since it is smaller than the sum of its proper divisors (406302512).

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

198158800 is a wasteful number, since it uses less digits than its factorization.

198158800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The square root of 198158800 is about 14076.8888608243. Note that the first 4 decimals coincide. The cubic root of 198158800 is about 583.0034452221.

The spelling of 198158800 in words is "one hundred ninety-eight million, one hundred fifty-eight thousand, eight hundred".