19798200 has 144 divisors (see below), whose sum is σ = 70508880. Its totient is φ = 4961280.

The previous prime is 19798159. The next prime is 19798201. The reversal of 19798200 is 289791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19798201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30277 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 2^19798200 is an apocalyptic number.

19798200 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 19798200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35254440).

19798200 is an abundant number, since it is smaller than the sum of its proper divisors (50710680).

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

19798200 is a wasteful number, since it uses less digits than its factorization.

19798200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 19798200 is about 4449.5168277016. The cubic root of 19798200 is about 270.5257246534.

The spelling of 19798200 in words is "nineteen million, seven hundred ninety-eight thousand, two hundred".