12957360 has 80 divisors (see below), whose sum is σ = 43268064. Its totient is φ = 3188736.

The previous prime is 12957337. The next prime is 12957361. The reversal of 12957360 is 6375921.

12957360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12957361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044 + ... + 5196.

Almost surely, 2^12957360 is an apocalyptic number.

12957360 is a gapful number since it is divisible by the number (10) 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 12957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634032).

12957360 is an abundant number, since it is smaller than the sum of its proper divisors (30310704).

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

12957360 is a wasteful number, since it uses less digits than its factorization.

12957360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 12957360 is about 3599.6333146586. The cubic root of 12957360 is about 234.8761079263.

The spelling of 12957360 in words is "twelve million, nine hundred fifty-seven thousand, three hundred sixty".