13006080 has 108 divisors (see below), whose sum is σ = 45039540. Its totient is φ = 3465216.

The previous prime is 13006069. The next prime is 13006111. The reversal of 13006080 is 8060031.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 10342656 = 1632^2 + 3216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10956 + ... + 12084.

Almost surely, 2^13006080 is an apocalyptic number.

13006080 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 13006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22519770).

13006080 is an abundant number, since it is smaller than the sum of its proper divisors (32033460).

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

13006080 is a wasteful number, since it uses less digits than its factorization.

13006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13006080 is about 3606.3943212023. The cubic root of 13006080 is about 235.1701197637.

The spelling of 13006080 in words is "thirteen million, six thousand, eighty".