199540800 has 336 divisors, whose sum is σ = 755904000. Its totient is φ = 51148800.

The previous prime is 199540799. The next prime is 199540811. The reversal of 199540800 is 8045991.

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 47 ways as a sum of consecutive naturals, for example, 1339126 + ... + 1339274.

Almost surely, 2^199540800 is an apocalyptic number.

199540800 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 199540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377952000).

199540800 is an abundant number, since it is smaller than the sum of its proper divisors (556363200).

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

199540800 is a wasteful number, since it uses less digits than its factorization.

199540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 199540800 is about 14125.8911223328. The cubic root of 199540800 is about 584.3556350165.

The spelling of 199540800 in words is "one hundred ninety-nine million, five hundred forty thousand, eight hundred".