14128680 has 64 divisors (see below), whose sum is σ = 42638400. Its totient is φ = 3745280.

The previous prime is 14128663. The next prime is 14128691. The reversal of 14128680 is 8682141.

14128680 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33511 + ... + 33929.

It is an arithmetic number, because the mean of its divisors is an integer number (666225).

Almost surely, 2^14128680 is an apocalyptic number.

14128680 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 14128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319200).

14128680 is an abundant number, since it is smaller than the sum of its proper divisors (28509720).

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

14128680 is a wasteful number, since it uses less digits than its factorization.

14128680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 14128680 is about 3758.8136426272. The cubic root of 14128680 is about 241.7503971986.

The spelling of 14128680 in words is "fourteen million, one hundred twenty-eight thousand, six hundred eighty".