13338400 has 36 divisors (see below), whose sum is σ = 32564322. Its totient is φ = 5335040.

The previous prime is 13338379. The next prime is 13338419. The reversal of 13338400 is 483331.

It can be written as a sum of positive squares in 3 ways, for example, as 12362256 + 976144 = 3516^2 + 988^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7537 + ... + 9136.

Almost surely, 2^13338400 is an apocalyptic number.

13338400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13338400 is an abundant number, since it is smaller than the sum of its proper divisors (19225922).

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

13338400 is a wasteful number, since it uses less digits than its factorization.

13338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16693 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13338400 is about 3652.1774327105. The cubic root of 13338400 is about 237.1562524835.

The spelling of 13338400 in words is "thirteen million, three hundred thirty-eight thousand, four hundred".