13065540 has 96 divisors (see below), whose sum is σ = 39285120. Its totient is φ = 3234816.

The previous prime is 13065527. The next prime is 13065557. The reversal of 13065540 is 4556031.

13065540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13065540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83142 + ... + 83298.

It is an arithmetic number, because the mean of its divisors is an integer number (409220).

Almost surely, 2^13065540 is an apocalyptic number.

13065540 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 13065540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642560).

13065540 is an abundant number, since it is smaller than the sum of its proper divisors (26219580).

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

13065540 is a wasteful number, since it uses less digits than its factorization.

13065540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13065540 is about 3614.6286116280. The cubic root of 13065540 is about 235.5279513886.

The spelling of 13065540 in words is "thirteen million, sixty-five thousand, five hundred forty".