13096000 has 56 divisors (see below), whose sum is σ = 32452056. Its totient is φ = 5235200.

The previous prime is 13095977. The next prime is 13096007. The reversal of 13096000 is 69031.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 9884736 = 1792^2 + 3144^2 .

It is not an unprimeable number, because it can be changed into a prime (13096007) 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, 7182 + ... + 8818.

It is an arithmetic number, because the mean of its divisors is an integer number (579501).

Almost surely, 2^13096000 is an apocalyptic number.

13096000 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 13096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226028).

13096000 is an abundant number, since it is smaller than the sum of its proper divisors (19356056).

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

13096000 is an equidigital number, since it uses as much as digits as its factorization.

13096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13096000 is about 3618.8395930187. The cubic root of 13096000 is about 235.7108399514.

The spelling of 13096000 in words is "thirteen million, ninety-six thousand".