12768560 has 60 divisors (see below), whose sum is σ = 34154064. Its totient is φ = 4348800.

The previous prime is 12768517. The next prime is 12768583. The reversal of 12768560 is 6586721.

It is a super-2 number, since 2×12768560² = 326072248947200, 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 12768560.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84485 + ... + 84635.

Almost surely, 2^12768560 is an apocalyptic number.

12768560 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 12768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077032).

12768560 is an abundant number, since it is smaller than the sum of its proper divisors (21385504).

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

12768560 is an equidigital number, since it uses as much as digits as its factorization.

12768560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 12768560 is about 3573.3121889922. The cubic root of 12768560 is about 233.7297388713.

Multiplying 12768560 by its sum of digits (35), we get a square (446899600 = 21140²).

12768560 divided by its sum of digits (35) gives a square (364816 = 604²).

Multiplying 12768560 by its product of nonzero digits (20160), we get a square (257414169600 = 507360²).

The spelling of 12768560 in words is "twelve million, seven hundred sixty-eight thousand, five hundred sixty".