13682560 has 32 divisors (see below), whose sum is σ = 32711400. Its totient is φ = 5472768.

The previous prime is 13682551. The next prime is 13682573. The reversal of 13682560 is 6528631.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10050 + ... + 11329.

Almost surely, 2^13682560 is an apocalyptic number.

13682560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13682560 is an abundant number, since it is smaller than the sum of its proper divisors (19028840).

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

13682560 is an equidigital number, since it uses as much as digits as its factorization.

13682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398 (or 21386 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 13682560 is about 3698.9944579575. The cubic root of 13682560 is about 239.1786739525.

It can be divided in two parts, 1 and 3682560, that added together give a square (3682561 = 1919²).

The spelling of 13682560 in words is "thirteen million, six hundred eighty-two thousand, five hundred sixty".