13706560 has 112 divisors (see below), whose sum is σ = 38770560. Its totient is φ = 4515840.

The previous prime is 13706533. The next prime is 13706591. The reversal of 13706560 is 6560731.

13706560 = T₂₃₃₉ + T₂₃₄₀ + ... + T₂₃₄₃.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 64855 + ... + 65065.

Almost surely, 2^13706560 is an apocalyptic number.

13706560 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 13706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385280).

13706560 is an abundant number, since it is smaller than the sum of its proper divisors (25064000).

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

13706560 is a wasteful number, since it uses less digits than its factorization.

13706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 13706560 is about 3702.2371615011. The cubic root of 13706560 is about 239.3184366668.

The spelling of 13706560 in words is "thirteen million, seven hundred six thousand, five hundred sixty".