19873800 has 144 divisors (see below), whose sum is σ = 68211780. Its totient is φ = 5184000.

The previous prime is 19873757. The next prime is 19873801. The reversal of 19873800 is 837891.

It can be written as a sum of positive squares in 6 ways, for example, as 36 + 19873764 = 6^2 + 4458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (19873801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109710 + ... + 109890.

Almost surely, 2^19873800 is an apocalyptic number.

19873800 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 19873800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34105890).

19873800 is an abundant number, since it is smaller than the sum of its proper divisors (48337980).

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

19873800 is a wasteful number, since it uses less digits than its factorization.

19873800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 19873800 is about 4458.0040376832. The cubic root of 19873800 is about 270.8696240653.

Subtracting from 19873800 its sum of digits (36), we obtain a square (19873764 = 4458²).

The spelling of 19873800 in words is "nineteen million, eight hundred seventy-three thousand, eight hundred".