14688640 has 64 divisors (see below), whose sum is σ = 35802000. Its totient is φ = 5761024.

The previous prime is 14688623. The next prime is 14688643. The reversal of 14688640 is 4688641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14688640² = 431512290099200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14688640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37566 + ... + 37954.

Almost surely, 2^14688640 is an apocalyptic number.

14688640 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 14688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901000).

14688640 is an abundant number, since it is smaller than the sum of its proper divisors (21113360).

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

14688640 is an equidigital number, since it uses as much as digits as its factorization.

14688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 14688640 is about 3832.5761571037. The cubic root of 14688640 is about 244.9028630613.

Subtracting from 14688640 its reverse (4688641), we obtain a palindrome (9999999).

The spelling of 14688640 in words is "fourteen million, six hundred eighty-eight thousand, six hundred forty".