14477680 has 80 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 4896000.

The previous prime is 14477669. The next prime is 14477689. The reversal of 14477680 is 8677441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14477689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57555 + ... + 57805.

Almost surely, 2^14477680 is an apocalyptic number.

14477680 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 14477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

14477680 is an abundant number, since it is smaller than the sum of its proper divisors (24519824).

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

14477680 is a wasteful number, since it uses less digits than its factorization.

14477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 14477680 is about 3804.9546646445. The cubic root of 14477680 is about 243.7247635499.

The spelling of 14477680 in words is "fourteen million, four hundred seventy-seven thousand, six hundred eighty".