12768020 has 54 divisors (see below), whose sum is σ = 29101758. Its totient is φ = 4704512.

The previous prime is 12767987. The next prime is 12768023. The reversal of 12768020 is 2086721.

It can be written as a sum of positive squares in 3 ways, for example, as 4276624 + 8491396 = 2068^2 + 2914^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 271637 + ... + 271683.

Almost surely, 2^12768020 is an apocalyptic number.

12768020 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 12768020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550879).

12768020 is an abundant number, since it is smaller than the sum of its proper divisors (16333738).

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

12768020 is a wasteful number, since it uses less digits than its factorization.

12768020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 12768020 is about 3573.2366280447. The cubic root of 12768020 is about 233.7264439072.

The spelling of 12768020 in words is "twelve million, seven hundred sixty-eight thousand, twenty".