13424800 has 72 divisors (see below), whose sum is σ = 33302556. Its totient is φ = 5283840.

The previous prime is 13424797. The next prime is 13424813. The reversal of 13424800 is 842431.

It can be written as a sum of positive squares in 6 ways, for example, as 7683984 + 5740816 = 2772^2 + 2396^2 .

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, 77514 + ... + 77686.

Almost surely, 2^13424800 is an apocalyptic number.

13424800 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 13424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651278).

13424800 is an abundant number, since it is smaller than the sum of its proper divisors (19877756).

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

13424800 is a wasteful number, since it uses less digits than its factorization.

13424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 13424800 is about 3663.9868995399. The cubic root of 13424800 is about 237.6672137308.

The spelling of 13424800 in words is "thirteen million, four hundred twenty-four thousand, eight hundred".