20787200 has 156 divisors (see below), whose sum is σ = 60941040. Its totient is φ = 6881280.

The previous prime is 20787187. The next prime is 20787203. The reversal of 20787200 is 278702.

It is a self number, because there is not a number n which added to its sum of digits gives 20787200.

It is not an unprimeable number, because it can be changed into a prime (20787203) 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, 716786 + ... + 716814.

Almost surely, 2^20787200 is an apocalyptic number.

20787200 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 20787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30470520).

20787200 is an abundant number, since it is smaller than the sum of its proper divisors (40153840).

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

20787200 is an equidigital number, since it uses as much as digits as its factorization.

20787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 20787200 is about 4559.2981916080. The cubic root of 20787200 is about 274.9573487572.

The spelling of 20787200 in words is "twenty million, seven hundred eighty-seven thousand, two hundred".