14640128 has 66 divisors (see below), whose sum is σ = 32092866. Its totient is φ = 6651904.

The previous prime is 14640097. The next prime is 14640133. The reversal of 14640128 is 82104641.

It can be written as a sum of positive squares in 3 ways, for example, as 4194304 + 10445824 = 2048^2 + 3232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14640097 and 14640106.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504818 + ... + 504846.

Almost surely, 2^14640128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046433).

14640128 is an abundant number, since it is smaller than the sum of its proper divisors (17452738).

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

14640128 is an equidigital number, since it uses as much as digits as its factorization.

14640128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 14640128 is about 3826.2420205732. The cubic root of 14640128 is about 244.6329530902.

Adding to 14640128 its reverse (82104641), we get a palindrome (96744769).

The spelling of 14640128 in words is "fourteen million, six hundred forty thousand, one hundred twenty-eight".