19797200 has 60 divisors (see below), whose sum is σ = 48711168. Its totient is φ = 7728000.

The previous prime is 19797191. The next prime is 19797203. The reversal of 19797200 is 279791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19797203) 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, 16625 + ... + 17775.

Almost surely, 2^19797200 is an apocalyptic number.

19797200 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 19797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584).

19797200 is an abundant number, since it is smaller than the sum of its proper divisors (28913968).

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

19797200 is a wasteful number, since it uses less digits than its factorization.

19797200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 35.

The square root of 19797200 is about 4449.4044545310. The cubic root of 19797200 is about 270.5211698575.

The spelling of 19797200 in words is "nineteen million, seven hundred ninety-seven thousand, two hundred".