13256320 has 128 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 4116480.

The previous prime is 13256239. The next prime is 13256333. The reversal of 13256320 is 2365231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13256291 and 13256300.

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, 49146 + ... + 49414.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^13256320 is an apocalyptic number.

13256320 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 13256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

13256320 is an abundant number, since it is smaller than the sum of its proper divisors (26401280).

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

13256320 is a wasteful number, since it uses less digits than its factorization.

13256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 13256320 is about 3640.9229599100. The cubic root of 13256320 is about 236.6687914465.

The spelling of 13256320 in words is "thirteen million, two hundred fifty-six thousand, three hundred twenty".