12640320 has 448 divisors, whose sum is σ = 58521600. Its totient is φ = 2488320.

The previous prime is 12640307. The next prime is 12640351. The reversal of 12640320 is 2304621.

It is a happy number.

12640320 is a `hidden beast` number, since 1 + 2 + 640 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12640293 and 12640302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665271 + ... + 665289.

Almost surely, 2^12640320 is an apocalyptic number.

12640320 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 12640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

12640320 is an abundant number, since it is smaller than the sum of its proper divisors (45881280).

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

12640320 is a wasteful number, since it uses less digits than its factorization.

12640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12640320 is about 3555.3227701574. The cubic root of 12640320 is about 232.9446226466.

Adding to 12640320 its reverse (2304621), we get a palindrome (14944941).

The spelling of 12640320 in words is "twelve million, six hundred forty thousand, three hundred twenty".