12957504 has 112 divisors (see below), whose sum is σ = 40574976. Its totient is φ = 3571200.

The previous prime is 12957481. The next prime is 12957509. The reversal of 12957504 is 40575921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957509) 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 15 ways as a sum of consecutive naturals, for example, 41509 + ... + 41819.

Almost surely, 2^12957504 is an apocalyptic number.

12957504 is a gapful number since it is divisible by the number (14) 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 12957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287488).

12957504 is an abundant number, since it is smaller than the sum of its proper divisors (27617472).

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

12957504 is a wasteful number, since it uses less digits than its factorization.

12957504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 12957504 is about 3599.6533166404. The cubic root of 12957504 is about 234.8769780118.

The spelling of 12957504 in words is "twelve million, nine hundred fifty-seven thousand, five hundred four".