13096800 has 216 divisors, whose sum is σ = 49356216. Its totient is φ = 3256320.

The previous prime is 13096799. The next prime is 13096801. The reversal of 13096800 is 869031.

It is an interprime number because it is at equal distance from previous prime (13096799) and next prime (13096801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13096801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122347 + ... + 122453.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^13096800 is an apocalyptic number.

13096800 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 13096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678108).

13096800 is an abundant number, since it is smaller than the sum of its proper divisors (36259416).

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

13096800 is a wasteful number, since it uses less digits than its factorization.

13096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13096800 is about 3618.9501240001. The cubic root of 13096800 is about 235.7156395042.

The spelling of 13096800 in words is "thirteen million, ninety-six thousand, eight hundred".