199923876 has 168 divisors, whose sum is σ = 575661240. Its totient is φ = 60466176.

The previous prime is 199923821. The next prime is 199923877. The reversal of 199923876 is 678329991.

199923876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116640000 + 83283876 = 10800^2 + 9126^2 .

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

Its product of digits (1469664) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199923877) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1834110 + ... + 1834218.

It is an arithmetic number, because the mean of its divisors is an integer number (3426555).

Almost surely, 2^199923876 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 199923876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287830620).

199923876 is an abundant number, since it is smaller than the sum of its proper divisors (375737364).

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

199923876 is a wasteful number, since it uses less digits than its factorization.

199923876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 199923876 is about 14139.4439777524. The cubic root of 199923876 is about 584.7293422517.

The spelling of 199923876 in words is "one hundred ninety-nine million, nine hundred twenty-three thousand, eight hundred seventy-six".