13366400 has 48 divisors (see below), whose sum is σ = 33027090. Its totient is φ = 5345280.

The previous prime is 13366399. The next prime is 13366411. The reversal of 13366400 is 466331.

It can be written as a sum of positive squares in 3 ways, for example, as 12334144 + 1032256 = 3512^2 + 1016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1112 + ... + 5288.

Almost surely, 2^13366400 is an apocalyptic number.

13366400 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 13366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513545).

13366400 is an abundant number, since it is smaller than the sum of its proper divisors (19660690).

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

13366400 is an equidigital number, since it uses as much as digits as its factorization.

13366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 13366400 is about 3656.0087527248. The cubic root of 13366400 is about 237.3220828176.

The spelling of 13366400 in words is "thirteen million, three hundred sixty-six thousand, four hundred".