14678640 has 240 divisors, whose sum is σ = 55130400. Its totient is φ = 3483648.

The previous prime is 14678627. The next prime is 14678641. The reversal of 14678640 is 4687641.

14678640 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 14678595 and 14678604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14678641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396702 + ... + 396738.

It is an arithmetic number, because the mean of its divisors is an integer number (229710).

Almost surely, 2^14678640 is an apocalyptic number.

14678640 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 14678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27565200).

14678640 is an abundant number, since it is smaller than the sum of its proper divisors (40451760).

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

14678640 is a wasteful number, since it uses less digits than its factorization.

14678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14678640 is about 3831.2713294675. The cubic root of 14678640 is about 244.8472739665.

Subtracting from 14678640 its reverse (4687641), we obtain a palindrome (9990999).

The spelling of 14678640 in words is "fourteen million, six hundred seventy-eight thousand, six hundred forty".