199803040 has 144 divisors (see below), whose sum is σ = 522207000. Its totient is φ = 72138752.

The previous prime is 199803013. The next prime is 199803041. The reversal of 199803040 is 40308991.

199803040 = 433² + 434² + ... + 879².

It can be written as a sum of positive squares in 12 ways, for example, as 31945104 + 167857936 = 5652^2 + 12956^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 199802987 and 199803005.

It is not an unprimeable number, because it can be changed into a prime (199803041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340886 + ... + 1341034.

Almost surely, 2^199803040 is an apocalyptic number.

199803040 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 199803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261103500).

199803040 is an abundant number, since it is smaller than the sum of its proper divisors (322403960).

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

199803040 is a wasteful number, since it uses less digits than its factorization.

199803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 199803040 is about 14135.1703208699. The cubic root of 199803040 is about 584.6115130790.

The spelling of 199803040 in words is "one hundred ninety-nine million, eight hundred three thousand, forty".