12957024 has 48 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 4283520.

The previous prime is 12957023. The next prime is 12957037. The reversal of 12957024 is 42075921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12956982 and 12957000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957023) 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, 12859 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 2^12957024 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 12957024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

12957024 is an abundant number, since it is smaller than the sum of its proper divisors (21335136).

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

12957024 is a wasteful number, since it uses less digits than its factorization.

12957024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12957024 is about 3599.5866429355. The cubic root of 12957024 is about 234.8740777016.

It can be divided in two parts, 12 and 957024, that added together give a triangular number (957036 = T₁₃₈₃).

The spelling of 12957024 in words is "twelve million, nine hundred fifty-seven thousand, twenty-four".