199973040 has 160 divisors (see below), whose sum is σ = 685241856. Its totient is φ = 47984640.

The previous prime is 199973029. The next prime is 199973051. The reversal of 199973040 is 40379991.

It is an interprime number because it is at equal distance from previous prime (199973029) and next prime (199973051).

It is a junction number, because it is equal to n+sod(n) for n = 199972983 and 199973001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92775 + ... + 94905.

Almost surely, 2^199973040 is an apocalyptic number.

199973040 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 199973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342620928).

199973040 is an abundant number, since it is smaller than the sum of its proper divisors (485268816).

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

199973040 is a wasteful number, since it uses less digits than its factorization.

199973040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 199973040 is about 14141.1824116656. The cubic root of 199973040 is about 584.7772692890. Note that the first 3 decimals are identical.

The spelling of 199973040 in words is "one hundred ninety-nine million, nine hundred seventy-three thousand, forty".