13677680 has 20 divisors (see below), whose sum is σ = 31800792. Its totient is φ = 5471040.

The previous prime is 13677661. The next prime is 13677689. The reversal of 13677680 is 8677631.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85406 + ... + 85565.

Almost surely, 2^13677680 is an apocalyptic number.

13677680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677680 is an abundant number, since it is smaller than the sum of its proper divisors (18123112).

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

13677680 is a wasteful number, since it uses less digits than its factorization.

13677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170984 (or 170978 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 13677680 is about 3698.3347604023. The cubic root of 13677680 is about 239.1502355433.

The spelling of 13677680 in words is "thirteen million, six hundred seventy-seven thousand, six hundred eighty".