13565680 has 40 divisors (see below), whose sum is σ = 32399712. Its totient is φ = 5278464.

The previous prime is 13565659. The next prime is 13565681. The reversal of 13565680 is 8656531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13565681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 5251.

Almost surely, 2^13565680 is an apocalyptic number.

13565680 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 13565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199856).

13565680 is an abundant number, since it is smaller than the sum of its proper divisors (18834032).

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

13565680 is a wasteful number, since it uses less digits than its factorization.

13565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 13565680 is about 3683.1616852916. The cubic root of 13565680 is about 238.4956832560.

The spelling of 13565680 in words is "thirteen million, five hundred sixty-five thousand, six hundred eighty".