13424000 has 64 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 5363200.

The previous prime is 13423987. The next prime is 13424003. The reversal of 13424000 is 42431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15581 + ... + 16419.

Almost surely, 2^13424000 is an apocalyptic number.

13424000 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 13424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

13424000 is an abundant number, since it is smaller than the sum of its proper divisors (19991200).

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

13424000 is an frugal number, since it uses more digits than its factorization.

13424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13424000 is about 3663.8777272174. The cubic root of 13424000 is about 237.6624926786.

Adding to 13424000 its reverse (42431), we get a palindrome (13466431).

The spelling of 13424000 in words is "thirteen million, four hundred twenty-four thousand".