199086048 has 288 divisors, whose sum is σ = 708087744. Its totient is φ = 51757056.

The previous prime is 199086029. The next prime is 199086053. The reversal of 199086048 is 840680991.

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

It is a junction number, because it is equal to n+sod(n) for n = 199085994 and 199086012.

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, 1267986 + ... + 1268142.

It is an arithmetic number, because the mean of its divisors is an integer number (2458638).

Almost surely, 2^199086048 is an apocalyptic number.

199086048 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 199086048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354043872).

199086048 is an abundant number, since it is smaller than the sum of its proper divisors (509001696).

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

199086048 is a wasteful number, since it uses less digits than its factorization.

199086048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 199086048 is about 14109.7855405389. The cubic root of 199086048 is about 583.9113833138.

The spelling of 199086048 in words is "one hundred ninety-nine million, eighty-six thousand, forty-eight".