13456560 has 160 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 3124224.

The previous prime is 13456529. The next prime is 13456561. The reversal of 13456560 is 6565431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13456561) 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 31 ways as a sum of consecutive naturals, for example, 59167 + ... + 59393.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^13456560 is an apocalyptic number.

13456560 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 13456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

13456560 is an abundant number, since it is smaller than the sum of its proper divisors (34040400).

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

13456560 is a wasteful number, since it uses less digits than its factorization.

13456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 13456560 is about 3668.3184158412. The cubic root of 13456560 is about 237.8544881780.

The spelling of 13456560 in words is "thirteen million, four hundred fifty-six thousand, five hundred sixty".