13791680 has 112 divisors (see below), whose sum is σ = 38624256. Its totient is φ = 4592640.

The previous prime is 13791667. The next prime is 13791689. The reversal of 13791680 is 8619731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13791680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13791689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105215 + ... + 105345.

Almost surely, 2^13791680 is an apocalyptic number.

13791680 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 13791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312128).

13791680 is an abundant number, since it is smaller than the sum of its proper divisors (24832576).

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

13791680 is a wasteful number, since it uses less digits than its factorization.

13791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 13791680 is about 3713.7151210075. The cubic root of 13791680 is about 239.8128170115.

The spelling of 13791680 in words is "thirteen million, seven hundred ninety-one thousand, six hundred eighty".