199033680 has 160 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 51036160.

The previous prime is 199033663. The next prime is 199033691. The reversal of 199033680 is 86330991.

It is a super-2 number, since 2×199033680² = 79228811548684800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111831 + ... + 1112009.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2^199033680 is an apocalyptic number.

199033680 is a gapful number since it is divisible by the number (10) 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 199033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

199033680 is an abundant number, since it is smaller than the sum of its proper divisors (442175280).

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

199033680 is a wasteful number, since it uses less digits than its factorization.

199033680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 199033680 is about 14107.9296851097. The cubic root of 199033680 is about 583.8601810771.

The spelling of 199033680 in words is "one hundred ninety-nine million, thirty-three thousand, six hundred eighty".