199080864 has 72 divisors (see below), whose sum is σ = 567910980. Its totient is φ = 66152448.

The previous prime is 199080859. The next prime is 199080877. The reversal of 199080864 is 468080991.

It can be written as a sum of positive squares in 2 ways, for example, as 195440400 + 3640464 = 13980^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111144 + ... + 112920.

Almost surely, 2^199080864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283955490).

199080864 is an abundant number, since it is smaller than the sum of its proper divisors (368830116).

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

199080864 is a wasteful number, since it uses less digits than its factorization.

199080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 199080864 is about 14109.6018370470. The cubic root of 199080864 is about 583.9063151152.

The spelling of 199080864 in words is "one hundred ninety-nine million, eighty thousand, eight hundred sixty-four".