199918080 has 120 divisors (see below), whose sum is σ = 692452332. Its totient is φ = 53305344.

The previous prime is 199918073. The next prime is 199918109. The reversal of 199918080 is 80819991.

It can be written as a sum of positive squares in 2 ways, for example, as 192432384 + 7485696 = 13872^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18702 + ... + 27378.

Almost surely, 2^199918080 is an apocalyptic number.

199918080 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 199918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346226166).

199918080 is an abundant number, since it is smaller than the sum of its proper divisors (492534252).

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

199918080 is an equidigital number, since it uses as much as digits as its factorization.

199918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 199918080 is about 14139.2390177124. The cubic root of 199918080 is about 584.7236915609.

The spelling of 199918080 in words is "one hundred ninety-nine million, nine hundred eighteen thousand, eighty".