19380200 has 96 divisors (see below), whose sum is σ = 52377600. Its totient is φ = 6531840.

The previous prime is 19380199. The next prime is 19380217. The reversal of 19380200 is 208391.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152537 + ... + 152663.

It is an arithmetic number, because the mean of its divisors is an integer number (545600).

Almost surely, 2^19380200 is an apocalyptic number.

19380200 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 19380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26188800).

19380200 is an abundant number, since it is smaller than the sum of its proper divisors (32997400).

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

19380200 is a wasteful number, since it uses less digits than its factorization.

19380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 19380200 is about 4402.2948560949. The cubic root of 19380200 is about 268.6082937819.

Adding to 19380200 its reverse (208391), we get a palindrome (19588591).

The spelling of 19380200 in words is "nineteen million, three hundred eighty thousand, two hundred".