199806552 has 96 divisors (see below), whose sum is σ = 604169280. Its totient is φ = 59129280.

The previous prime is 199806511. The next prime is 199806553. The reversal of 199806552 is 255608991.

199806552 is a `hidden beast` number, since 1 + 9 + 98 + 0 + 6 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199806498 and 199806507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199806553) 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, 31123 + ... + 36989.

It is an arithmetic number, because the mean of its divisors is an integer number (6293430).

Almost surely, 2^199806552 is an apocalyptic number.

199806552 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 199806552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302084640).

199806552 is an abundant number, since it is smaller than the sum of its proper divisors (404362728).

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

199806552 is a wasteful number, since it uses less digits than its factorization.

199806552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 199806552 is about 14135.2945494602. The cubic root of 199806552 is about 584.6149383582.

The spelling of 199806552 in words is "one hundred ninety-nine million, eight hundred six thousand, five hundred fifty-two".