12959488 has 72 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 5913600.

The previous prime is 12959483. The next prime is 12959489. The reversal of 12959488 is 88495921.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12959483) 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 7 ways as a sum of consecutive naturals, for example, 182493 + ... + 182563.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 2^12959488 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 12959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

12959488 is an abundant number, since it is smaller than the sum of its proper divisors (15296768).

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

12959488 is an equidigital number, since it uses as much as digits as its factorization.

12959488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its digits is 207360, while the sum is 46.

The square root of 12959488 is about 3599.9288881865. The cubic root of 12959488 is about 234.8889652006. Note that the first 3 decimals are identical.

The spelling of 12959488 in words is "twelve million, nine hundred fifty-nine thousand, four hundred eighty-eight".