12959360 has 32 divisors (see below), whose sum is σ = 30982500. Its totient is φ = 5183488.

The previous prime is 12959351. The next prime is 12959369. The reversal of 12959360 is 6395921.

It is an interprime number because it is at equal distance from previous prime (12959351) and next prime (12959369).

It can be written as a sum of positive squares in 2 ways, for example, as 12559936 + 399424 = 3544^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12959360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12959369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9485 + ... + 10764.

Almost surely, 2^12959360 is an apocalyptic number.

12959360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12959360 is an abundant number, since it is smaller than the sum of its proper divisors (18023140).

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

12959360 is an equidigital number, since it uses as much as digits as its factorization.

12959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 12959360 is about 3599.9111100137. The cubic root of 12959360 is about 234.8881918705. Note that the first 3 decimals are identical.

The spelling of 12959360 in words is "twelve million, nine hundred fifty-nine thousand, three hundred sixty".