19993200 has 60 divisors (see below), whose sum is σ = 64048728. Its totient is φ = 5331200.

The previous prime is 19993157. The next prime is 19993201. The reversal of 19993200 is 239991.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19993201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7131 + ... + 9530.

Almost surely, 2^19993200 is an apocalyptic number.

19993200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19993200 is an abundant number, since it is smaller than the sum of its proper divisors (44055528).

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

19993200 is a wasteful number, since it uses less digits than its factorization.

19993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 19993200 is about 4471.3756272539. The cubic root of 19993200 is about 271.4109947727.

The spelling of 19993200 in words is "nineteen million, nine hundred ninety-three thousand, two hundred".