13506080 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4469760.

The previous prime is 13506079. The next prime is 13506091. The reversal of 13506080 is 8060531.

13506080 = 645² + 646² + ... + 675².

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, 34526 + ... + 34914.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^13506080 is an apocalyptic number.

13506080 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 13506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13506080 is an abundant number, since it is smaller than the sum of its proper divisors (24233440).

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

13506080 is a wasteful number, since it uses less digits than its factorization.

13506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13506080 is about 3675.0619042405. The cubic root of 13506080 is about 238.1458983503.

The spelling of 13506080 in words is "thirteen million, five hundred six thousand, eighty".