199993920 has 112 divisors (see below), whose sum is σ = 725716608. Its totient is φ = 45711360.

The previous prime is 199993897. The next prime is 199993931. The reversal of 199993920 is 29399991.

199993920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8161 + ... + 21600.

Almost surely, 2^199993920 is an apocalyptic number.

199993920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199993920 is an abundant number, since it is smaller than the sum of its proper divisors (525722688).

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

199993920 is a wasteful number, since it uses less digits than its factorization.

199993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29788 (or 29778 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 51.

The square root of 199993920 is about 14141.9206616357. The cubic root of 199993920 is about 584.7976215732.

The spelling of 199993920 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, nine hundred twenty".