12895488 has 108 divisors (see below), whose sum is σ = 38662260. Its totient is φ = 4128768.

The previous prime is 12895481. The next prime is 12895507. The reversal of 12895488 is 88459821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 8020224 = 2208^2 + 2832^2 .

It is a super-3 number, since 3×12895488³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12895481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66720 + ... + 66912.

Almost surely, 2^12895488 is an apocalyptic number.

12895488 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 12895488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331130).

12895488 is an abundant number, since it is smaller than the sum of its proper divisors (25766772).

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

12895488 is a wasteful number, since it uses less digits than its factorization.

12895488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 12895488 is about 3591.0288219395. The cubic root of 12895488 is about 234.5016631618.

The spelling of 12895488 in words is "twelve million, eight hundred ninety-five thousand, four hundred eighty-eight".