19970200 has 48 divisors (see below), whose sum is σ = 47943360. Its totient is φ = 7728000.

The previous prime is 19970191. The next prime is 19970207. The reversal of 19970200 is 207991.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19970207) 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, 4590 + ... + 7810.

It is an arithmetic number, because the mean of its divisors is an integer number (998820).

Almost surely, 2^19970200 is an apocalyptic number.

19970200 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 19970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23971680).

19970200 is an abundant number, since it is smaller than the sum of its proper divisors (27973160).

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

19970200 is a wasteful number, since it uses less digits than its factorization.

19970200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 19970200 is about 4468.8029717140. The cubic root of 19970200 is about 271.3068785704.

The spelling of 19970200 in words is "nineteen million, nine hundred seventy thousand, two hundred".