14668640 has 72 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 5026560.

The previous prime is 14668583. The next prime is 14668649. The reversal of 14668640 is 4686641.

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 14668640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14668649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6905 + ... + 8775.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^14668640 is an apocalyptic number.

14668640 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 14668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

14668640 is an abundant number, since it is smaller than the sum of its proper divisors (25665472).

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

14668640 is a wasteful number, since it uses less digits than its factorization.

14668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 14668640 is about 3829.9660572908. The cubic root of 14668640 is about 244.7916596187.

It can be divided in two parts, 146 and 68640, that added together give a palindrome (68786).

The spelling of 14668640 in words is "fourteen million, six hundred sixty-eight thousand, six hundred forty".