12931488 has 72 divisors (see below), whose sum is σ = 38158848. Its totient is φ = 4307904.

The previous prime is 12931487. The next prime is 12931493. The reversal of 12931488 is 88413921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12931487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6945 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (529984).

Almost surely, 2^12931488 is an apocalyptic number.

12931488 is a gapful number since it is divisible by the number (18) 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 12931488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424).

12931488 is an abundant number, since it is smaller than the sum of its proper divisors (25227360).

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

12931488 is an equidigital number, since it uses as much as digits as its factorization.

12931488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1668 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 12931488 is about 3596.0378196009. The cubic root of 12931488 is about 234.7196778196.

The spelling of 12931488 in words is "twelve million, nine hundred thirty-one thousand, four hundred eighty-eight".