20427200 has 84 divisors (see below), whose sum is σ = 53291232. Its totient is φ = 7680000.

The previous prime is 20427181. The next prime is 20427229. The reversal of 20427200 is 272402.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26825 + ... + 27575.

Almost surely, 2^20427200 is an apocalyptic number.

20427200 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 20427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645616).

20427200 is an abundant number, since it is smaller than the sum of its proper divisors (32864032).

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

20427200 is a wasteful number, since it uses less digits than its factorization.

20427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 20427200 is about 4519.6460038370. The cubic root of 20427200 is about 273.3608274280.

Adding to 20427200 its reverse (272402), we get a palindrome (20699602).

The spelling of 20427200 in words is "twenty million, four hundred twenty-seven thousand, two hundred".