12960640 has 128 divisors (see below), whose sum is σ = 38776320. Its totient is φ = 4024320.

The previous prime is 12960617. The next prime is 12960643. The reversal of 12960640 is 4606921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12960599 and 12960608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49149 + ... + 49411.

It is an arithmetic number, because the mean of its divisors is an integer number (302940).

Almost surely, 2^12960640 is an apocalyptic number.

12960640 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 12960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160).

12960640 is an abundant number, since it is smaller than the sum of its proper divisors (25815680).

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

12960640 is a wasteful number, since it uses less digits than its factorization.

12960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12960640 is about 3600.0888877915. The cubic root of 12960640 is about 234.8959249424.

It can be divided in two parts, 12960 and 640, that multiplied together give a square (8294400 = 2880²).

The spelling of 12960640 in words is "twelve million, nine hundred sixty thousand, six hundred forty".