199794816 has 128 divisors (see below), whose sum is σ = 635174400. Its totient is φ = 61461504.

The previous prime is 199794811. The next prime is 199794817. The reversal of 199794816 is 618497991.

199794816 is a `hidden beast` number, since 1 + 99 + 79 + 481 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199794811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42705 + ... + 47151.

It is an arithmetic number, because the mean of its divisors is an integer number (4962300).

Almost surely, 2^199794816 is an apocalyptic number.

199794816 is a gapful number since it is divisible by the number (16) 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 199794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317587200).

199794816 is an abundant number, since it is smaller than the sum of its proper divisors (435379584).

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

199794816 is a wasteful number, since it uses less digits than its factorization.

199794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4465 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 199794816 is about 14134.8794122907. The cubic root of 199794816 is about 584.6034919947.

The spelling of 199794816 in words is "one hundred ninety-nine million, seven hundred ninety-four thousand, eight hundred sixteen".