13707540 has 288 divisors, whose sum is σ = 55351296. Its totient is φ = 2661120.

The previous prime is 13707539. The next prime is 13707557. The reversal of 13707540 is 4570731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318759 + ... + 318801.

It is an arithmetic number, because the mean of its divisors is an integer number (192192).

Almost surely, 2^13707540 is an apocalyptic number.

13707540 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 13707540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27675648).

13707540 is an abundant number, since it is smaller than the sum of its proper divisors (41643756).

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

13707540 is a wasteful number, since it uses less digits than its factorization.

13707540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13707540 is about 3702.3695115426. The cubic root of 13707540 is about 239.3241401762.

The spelling of 13707540 in words is "thirteen million, seven hundred seven thousand, five hundred forty".