13214400 has 84 divisors (see below), whose sum is σ = 43369992. Its totient is φ = 3522560.

The previous prime is 13214371. The next prime is 13214413. The reversal of 13214400 is 441231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13214400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3424 + ... + 6176.

Almost surely, 2^13214400 is an apocalyptic number.

13214400 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 13214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684996).

13214400 is an abundant number, since it is smaller than the sum of its proper divisors (30155592).

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

13214400 is a wasteful number, since it uses less digits than its factorization.

13214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13214400 is about 3635.1616195157. The cubic root of 13214400 is about 236.4190581891.

Adding to 13214400 its reverse (441231), we get a palindrome (13655631).

The spelling of 13214400 in words is "thirteen million, two hundred fourteen thousand, four hundred".