199698912 has 288 divisors, whose sum is σ = 698090400. Its totient is φ = 55351296.

The previous prime is 199698887. The next prime is 199698943. The reversal of 199698912 is 219896991.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243764 + ... + 2243852.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^199698912 is an apocalyptic number.

199698912 is a gapful number since it is divisible by the number (12) 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 199698912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349045200).

199698912 is an abundant number, since it is smaller than the sum of its proper divisors (498391488).

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

199698912 is a wasteful number, since it uses less digits than its factorization.

199698912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The square root of 199698912 is about 14131.4865460078. The cubic root of 199698912 is about 584.5099380384.

It can be divided in two parts, 1996989 and 12, that added together give a triangular number (1997001 = T₁₉₉₈).

The spelling of 199698912 in words is "one hundred ninety-nine million, six hundred ninety-eight thousand, nine hundred twelve".