13416800 has 72 divisors (see below), whose sum is σ = 33872832. Its totient is φ = 5184000.

The previous prime is 13416773. The next prime is 13416811. The reversal of 13416800 is 861431.

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 24530 + ... + 25070.

It is an arithmetic number, because the mean of its divisors is an integer number (470456).

Almost surely, 2^13416800 is an apocalyptic number.

13416800 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 13416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936416).

13416800 is an abundant number, since it is smaller than the sum of its proper divisors (20456032).

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

13416800 is a wasteful number, since it uses less digits than its factorization.

13416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13416800 is about 3662.8950298910. The cubic root of 13416800 is about 237.6199947652.

The spelling of 13416800 in words is "thirteen million, four hundred sixteen thousand, eight hundred".