199763040 has 96 divisors (see below), whose sum is σ = 637985376. Its totient is φ = 52531200.

The previous prime is 199763033. The next prime is 199763051. The reversal of 199763040 is 40367991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 199763040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32190 + ... + 37890.

It is an arithmetic number, because the mean of its divisors is an integer number (6645681).

Almost surely, 2^199763040 is an apocalyptic number.

199763040 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 199763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318992688).

199763040 is an abundant number, since it is smaller than the sum of its proper divisors (438222336).

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

199763040 is a wasteful number, since it uses less digits than its factorization.

199763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 199763040 is about 14133.7553396116. The cubic root of 199763040 is about 584.5724979549.

The spelling of 199763040 in words is "one hundred ninety-nine million, seven hundred sixty-three thousand, forty".