13004800 has 78 divisors (see below), whose sum is σ = 32501888. Its totient is φ = 5160960.

The previous prime is 13004777. The next prime is 13004801. The reversal of 13004800 is 840031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102337 + ... + 102463.

Almost surely, 2^13004800 is an apocalyptic number.

13004800 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 13004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250944).

13004800 is an abundant number, since it is smaller than the sum of its proper divisors (19497088).

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

13004800 is an equidigital number, since it uses as much as digits as its factorization.

13004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13004800 is about 3606.2168542671. The cubic root of 13004800 is about 235.1624047149.

Adding to 13004800 its reverse (840031), we get a palindrome (13844831).

The spelling of 13004800 in words is "thirteen million, four thousand, eight hundred".