199870080 has 128 divisors (see below), whose sum is σ = 652881600. Its totient is φ = 51978240.

The previous prime is 199870061. The next prime is 199870081. The reversal of 199870080 is 80078991.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (199870081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77451 + ... + 79989.

Almost surely, 2^199870080 is an apocalyptic number.

199870080 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 199870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326440800).

199870080 is an abundant number, since it is smaller than the sum of its proper divisors (453011520).

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

199870080 is a wasteful number, since it uses less digits than its factorization.

199870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 199870080 is about 14137.5415118754. The cubic root of 199870080 is about 584.6768907517.

The spelling of 199870080 in words is "one hundred ninety-nine million, eight hundred seventy thousand, eighty".