13427200 has 60 divisors (see below), whose sum is σ = 33298650. Its totient is φ = 5365760.

The previous prime is 13427153. The next prime is 13427201. The reversal of 13427200 is 272431.

It can be written as a sum of positive squares in 3 ways, for example, as 12278016 + 1149184 = 3504^2 + 1072^2 .

It is not an unprimeable number, because it can be changed into a prime (13427201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12276 + ... + 13324.

Almost surely, 2^13427200 is an apocalyptic number.

13427200 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 13427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16649325).

13427200 is an abundant number, since it is smaller than the sum of its proper divisors (19871450).

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

13427200 is an equidigital number, since it uses as much as digits as its factorization.

13427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 13427200 is about 3664.3143969916. The cubic root of 13427200 is about 237.6813757624.

Adding to 13427200 its reverse (272431), we get a palindrome (13699631).

The spelling of 13427200 in words is "thirteen million, four hundred twenty-seven thousand, two hundred".