13705080 has 64 divisors (see below), whose sum is σ = 43286400. Its totient is φ = 3461760.

The previous prime is 13705073. The next prime is 13705103. The reversal of 13705080 is 8050731.

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 13705080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (676350).

Almost surely, 2^13705080 is an apocalyptic number.

13705080 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 13705080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21643200).

13705080 is an abundant number, since it is smaller than the sum of its proper divisors (29581320).

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

13705080 is a wasteful number, since it uses less digits than its factorization.

13705080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13705080 is about 3702.0372769598. The cubic root of 13705080 is about 239.3098226884.

The spelling of 13705080 in words is "thirteen million, seven hundred five thousand, eighty".