20187200 has 168 divisors, whose sum is σ = 57448704. Its totient is φ = 6912000.

The previous prime is 20187191. The next prime is 20187203. The reversal of 20187200 is 278102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20187203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545582 + ... + 545618.

Almost surely, 2^20187200 is an apocalyptic number.

20187200 is a gapful number since it is divisible by the number (20) 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 20187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28724352).

20187200 is an abundant number, since it is smaller than the sum of its proper divisors (37261504).

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

20187200 is a wasteful number, since it uses less digits than its factorization.

20187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 20187200 is about 4493.0168038858. The cubic root of 20187200 is about 272.2860312881.

The spelling of 20187200 in words is "twenty million, one hundred eighty-seven thousand, two hundred".