13667760 has 120 divisors (see below), whose sum is σ = 47121984. Its totient is φ = 3548160.

The previous prime is 13667749. The next prime is 13667761. The reversal of 13667760 is 6776631.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13667761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29289 + ... + 29751.

Almost surely, 2^13667760 is an apocalyptic number.

13667760 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 13667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560992).

13667760 is an abundant number, since it is smaller than the sum of its proper divisors (33454224).

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

13667760 is a wasteful number, since it uses less digits than its factorization.

13667760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 13667760 is about 3696.9933729992. The cubic root of 13667760 is about 239.0924054604.

It can be divided in two parts, 136 and 67760, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 13667760 in words is "thirteen million, six hundred sixty-seven thousand, seven hundred sixty".