13327200 has 144 divisors (see below), whose sum is σ = 48278160. Its totient is φ = 3548160.

The previous prime is 13327187. The next prime is 13327243. The reversal of 13327200 is 272331.

13327200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13327200² = 355228519680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21292 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (335265).

Almost surely, 2^13327200 is an apocalyptic number.

13327200 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 13327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24139080).

13327200 is an abundant number, since it is smaller than the sum of its proper divisors (34950960).

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

13327200 is a wasteful number, since it uses less digits than its factorization.

13327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13327200 is about 3650.6437788423. The cubic root of 13327200 is about 237.0898553690.

Adding to 13327200 its reverse (272331), we get a palindrome (13599531).

The spelling of 13327200 in words is "thirteen million, three hundred twenty-seven thousand, two hundred".