13206400 has 48 divisors (see below), whose sum is σ = 32631840. Its totient is φ = 5281280.

The previous prime is 13206377. The next prime is 13206407. The reversal of 13206400 is 460231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206407) 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, 1137 + ... + 5263.

It is an arithmetic number, because the mean of its divisors is an integer number (679830).

Almost surely, 2^13206400 is an apocalyptic number.

13206400 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 13206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315920).

13206400 is an abundant number, since it is smaller than the sum of its proper divisors (19425440).

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

13206400 is an equidigital number, since it uses as much as digits as its factorization.

13206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13206400 is about 3634.0610891948. The cubic root of 13206400 is about 236.3713391788.

Adding to 13206400 its reverse (460231), we get a palindrome (13666631).

The spelling of 13206400 in words is "thirteen million, two hundred six thousand, four hundred".