13195680 has 96 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3419136.

The previous prime is 13195669. The next prime is 13195733. The reversal of 13195680 is 8659131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17389 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^13195680 is an apocalyptic number.

13195680 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 13195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

13195680 is an abundant number, since it is smaller than the sum of its proper divisors (29551584).

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

13195680 is a wasteful number, since it uses less digits than its factorization.

13195680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13195680 is about 3632.5858558333. The cubic root of 13195680 is about 236.3073654822.

The spelling of 13195680 in words is "thirteen million, one hundred ninety-five thousand, six hundred eighty".