14111680 has 112 divisors (see below), whose sum is σ = 38770560. Its totient is φ = 4838400.

The previous prime is 14111677. The next prime is 14111681. The reversal of 14111680 is 8611141.

14111680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111681) 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, 66775 + ... + 66985.

Almost surely, 2^14111680 is an apocalyptic number.

14111680 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 14111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385280).

14111680 is an abundant number, since it is smaller than the sum of its proper divisors (24658880).

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

14111680 is a wasteful number, since it uses less digits than its factorization.

14111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 14111680 is about 3756.5516101872. The cubic root of 14111680 is about 241.6533981353.

The spelling of 14111680 in words is "fourteen million, one hundred eleven thousand, six hundred eighty".