14544640 has 72 divisors (see below), whose sum is σ = 38042928. Its totient is φ = 5283840.

The previous prime is 14544623. The next prime is 14544661. The reversal of 14544640 is 4644541.

14544640 = 487² + 488² + ... + 541².

It is a junction number, because it is equal to n+sod(n) for n = 14544599 and 14544608.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13564 + ... + 14596.

It is an arithmetic number, because the mean of its divisors is an integer number (528374).

Almost surely, 2^14544640 is an apocalyptic number.

14544640 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 14544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19021464).

14544640 is an abundant number, since it is smaller than the sum of its proper divisors (23498288).

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

14544640 is a wasteful number, since it uses less digits than its factorization.

14544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 14544640 is about 3813.7435676773. The cubic root of 14544640 is about 244.0999321919.

Subtracting from 14544640 its reverse (4644541), we obtain a palindrome (9900099).

The spelling of 14544640 in words is "fourteen million, five hundred forty-four thousand, six hundred forty".