199967856 has 160 divisors (see below), whose sum is σ = 613294080. Its totient is φ = 55468800.

The previous prime is 199967791. The next prime is 199967861. The reversal of 199967856 is 658769991.

199967856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 199967856.

It is a congruent number.

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, 310671 + ... + 311313.

It is an arithmetic number, because the mean of its divisors is an integer number (3833088).

Almost surely, 2^199967856 is an apocalyptic number.

199967856 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 199967856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306647040).

199967856 is an abundant number, since it is smaller than the sum of its proper divisors (413326224).

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

199967856 is a wasteful number, since it uses less digits than its factorization.

199967856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 60.

The square root of 199967856 is about 14140.9991160455. Note that the first 3 decimals coincide. The cubic root of 199967856 is about 584.7722160886.

The spelling of 199967856 in words is "one hundred ninety-nine million, nine hundred sixty-seven thousand, eight hundred fifty-six".