13534080 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 2875392.

The previous prime is 13534049. The next prime is 13534139. The reversal of 13534080 is 8043531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13534080.

It is a congruent number.

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, 255334 + ... + 255386.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^13534080 is an apocalyptic number.

13534080 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 13534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

13534080 is an abundant number, since it is smaller than the sum of its proper divisors (39342720).

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

13534080 is a wasteful number, since it uses less digits than its factorization.

13534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13534080 is about 3678.8693915387. The cubic root of 13534080 is about 238.3103547160.

The spelling of 13534080 in words is "thirteen million, five hundred thirty-four thousand, eighty".