13265280 has 288 divisors, whose sum is σ = 54419040. Its totient is φ = 2967552.

The previous prime is 13265269. The next prime is 13265293. The reversal of 13265280 is 8256231.

13265280 is a `hidden beast` number, since 1 + 3 + 2 + 652 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282217 + ... + 282263.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 2^13265280 is an apocalyptic number.

13265280 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 13265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

13265280 is an abundant number, since it is smaller than the sum of its proper divisors (41153760).

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

13265280 is a wasteful number, since it uses less digits than its factorization.

13265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13265280 is about 3642.1532092980. The cubic root of 13265280 is about 236.7221012335.

The spelling of 13265280 in words is "thirteen million, two hundred sixty-five thousand, two hundred eighty".