12957560 has 96 divisors (see below), whose sum is σ = 37059120. Its totient is φ = 4032000.

The previous prime is 12957557. The next prime is 12957611. The reversal of 12957560 is 6575921.

It is a super-2 number, since 2×12957560² = 335796722307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12957560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21260 + ... + 21860.

Almost surely, 2^12957560 is an apocalyptic number.

12957560 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 12957560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529560).

12957560 is an abundant number, since it is smaller than the sum of its proper divisors (24101560).

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

12957560 is a wasteful number, since it uses less digits than its factorization.

12957560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 12957560 is about 3599.6610951588. The cubic root of 12957560 is about 234.8773163766.

The spelling of 12957560 in words is "twelve million, nine hundred fifty-seven thousand, five hundred sixty".