13395760 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4347648.

The previous prime is 13395749. The next prime is 13395761. The reversal of 13395760 is 6759331.

13395760 = T₂₄₇ + T₂₄₈ + ... + T₄₅₆.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13395761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10011 + ... + 11269.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13395760 is an apocalyptic number.

13395760 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 13395760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13395760 is an abundant number, since it is smaller than the sum of its proper divisors (24101840).

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

13395760 is a wasteful number, since it uses less digits than its factorization.

13395760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 13395760 is about 3660.0218578582. The cubic root of 13395760 is about 237.4957192211.

The spelling of 13395760 in words is "thirteen million, three hundred ninety-five thousand, seven hundred sixty".