13354400 has 36 divisors (see below), whose sum is σ = 32603382. Its totient is φ = 5341440.

The previous prime is 13354399. The next prime is 13354403. The reversal of 13354400 is 445331.

It can be written as a sum of positive squares in 3 ways, for example, as 6615184 + 6739216 = 2572^2 + 2596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13354403) by changing a digit.

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, 7547 + ... + 9146.

Almost surely, 2^13354400 is an apocalyptic number.

13354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13354400 is an abundant number, since it is smaller than the sum of its proper divisors (19248982).

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

13354400 is a wasteful number, since it uses less digits than its factorization.

13354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16713 (or 16700 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13354400 is about 3654.3672502911. The cubic root of 13354400 is about 237.2510410595.

Adding to 13354400 its reverse (445331), we get a palindrome (13799731).

The spelling of 13354400 in words is "thirteen million, three hundred fifty-four thousand, four hundred".