19799200 has 36 divisors (see below), whose sum is σ = 48336750. Its totient is φ = 7919360.

The previous prime is 19799191. The next prime is 19799231. The reversal of 19799200 is 299791.

It can be written as a sum of positive squares in 3 ways, for example, as 18974736 + 824464 = 4356^2 + 908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19799200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11575 + ... + 13174.

Almost surely, 2^19799200 is an apocalyptic number.

19799200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19799200 is an abundant number, since it is smaller than the sum of its proper divisors (28537550).

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

19799200 is a wasteful number, since it uses less digits than its factorization.

19799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24769 (or 24756 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 19799200 is about 4449.6291980344. The cubic root of 19799200 is about 270.5302792959.

The spelling of 19799200 in words is "nineteen million, seven hundred ninety-nine thousand, two hundred".