199366128 has 120 divisors (see below), whose sum is σ = 604596720. Its totient is φ = 60963840.

The previous prime is 199366127. The next prime is 199366129. The reversal of 199366128 is 821663991.

It is a happy number.

199366128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199366127) and next prime (199366129).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199366127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525843 + ... + 526221.

It is an arithmetic number, because the mean of its divisors is an integer number (5038306).

Almost surely, 2^199366128 is an apocalyptic number.

199366128 is a gapful number since it is divisible by the number (18) 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 199366128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302298360).

199366128 is an abundant number, since it is smaller than the sum of its proper divisors (405230592).

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

199366128 is a wasteful number, since it uses less digits than its factorization.

199366128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 199366128 is about 14119.7070791146. The cubic root of 199366128 is about 584.1850761381.

It can be divided in two parts, 1993 and 66128, that added together give a square (68121 = 261²).

The spelling of 199366128 in words is "one hundred ninety-nine million, three hundred sixty-six thousand, one hundred twenty-eight".