199993584 has 80 divisors (see below), whose sum is σ = 606453248. Its totient is φ = 55593216.

The previous prime is 199993567. The next prime is 199993589. The reversal of 199993584 is 485399991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199993589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4389 + ... + 20475.

Almost surely, 2^199993584 is an apocalyptic number.

199993584 is a gapful number since it is divisible by the number (14) 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 199993584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303226624).

199993584 is an abundant number, since it is smaller than the sum of its proper divisors (406459664).

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

199993584 is a wasteful number, since it uses less digits than its factorization.

199993584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16142 (or 16136 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 57.

The square root of 199993584 is about 14141.9087820563. The cubic root of 199993584 is about 584.7972940764.

The spelling of 199993584 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, five hundred eighty-four".