13605680 has 40 divisors (see below), whose sum is σ = 34511184. Its totient is φ = 4947200.

The previous prime is 13605671. The next prime is 13605689. The reversal of 13605680 is 8650631.

It is an interprime number because it is at equal distance from previous prime (13605671) and next prime (13605689).

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

It is a super-2 number, since 2×13605680² = 370229056524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13605689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6851 + ... + 8610.

Almost surely, 2^13605680 is an apocalyptic number.

13605680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13605680 is an abundant number, since it is smaller than the sum of its proper divisors (20905504).

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

13605680 is a wasteful number, since it uses less digits than its factorization.

13605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 13605680 is about 3688.5878056514. The cubic root of 13605680 is about 238.7298640767.

The spelling of 13605680 in words is "thirteen million, six hundred five thousand, six hundred eighty".