13084800 has 192 divisors, whose sum is σ = 45532800. Its totient is φ = 3297280.

The previous prime is 13084789. The next prime is 13084807. The reversal of 13084800 is 848031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13084807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278377 + ... + 278423.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^13084800 is an apocalyptic number.

13084800 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 13084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

13084800 is an abundant number, since it is smaller than the sum of its proper divisors (32448000).

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

13084800 is a wasteful number, since it uses less digits than its factorization.

13084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13084800 is about 3617.2918046517. The cubic root of 13084800 is about 235.6436256786.

The spelling of 13084800 in words is "thirteen million, eighty-four thousand, eight hundred".