199859616 has 192 divisors, whose sum is σ = 673868160. Its totient is φ = 56954880.

The previous prime is 199859591. The next prime is 199859623. The reversal of 199859616 is 616958991.

199859616 is a `hidden beast` number, since 19 + 9 + 8 + 5 + 9 + 616 = 666.

199859616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199859616² = 79887732215334912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160950 + ... + 162186.

It is an arithmetic number, because the mean of its divisors is an integer number (3509730).

Almost surely, 2^199859616 is an apocalyptic number.

199859616 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 199859616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336934080).

199859616 is an abundant number, since it is smaller than the sum of its proper divisors (474008544).

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

199859616 is a wasteful number, since it uses less digits than its factorization.

199859616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 199859616 is about 14137.1714285426. The cubic root of 199859616 is about 584.6666871805. Note that the first 4 decimals are identical.

The spelling of 199859616 in words is "one hundred ninety-nine million, eight hundred fifty-nine thousand, six hundred sixteen".