13580256 has 24 divisors (see below), whose sum is σ = 35648424. Its totient is φ = 4526720.

The previous prime is 13580233. The next prime is 13580261. The reversal of 13580256 is 65208531.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70635 + ... + 70826.

It is an arithmetic number, because the mean of its divisors is an integer number (1485351).

Almost surely, 2^13580256 is an apocalyptic number.

13580256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13580256 is an abundant number, since it is smaller than the sum of its proper divisors (22068168).

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

13580256 is a wasteful number, since it uses less digits than its factorization.

13580256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141474 (or 141466 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 13580256 is about 3685.1398887966. The cubic root of 13580256 is about 238.5810719907.

Adding to 13580256 its reverse (65208531), we get a palindrome (78788787).

The spelling of 13580256 in words is "thirteen million, five hundred eighty thousand, two hundred fifty-six".