13005080 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4727360.

The previous prime is 13005073. The next prime is 13005103. The reversal of 13005080 is 8050031.

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, 3497 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^13005080 is an apocalyptic number.

13005080 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 13005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

13005080 is an abundant number, since it is smaller than the sum of its proper divisors (19170280).

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

13005080 is a wasteful number, since it uses less digits than its factorization.

13005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13005080 is about 3606.2556759054. The cubic root of 13005080 is about 235.1640924251.

The spelling of 13005080 in words is "thirteen million, five thousand, eighty".