12768600 has 96 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3141120.

The previous prime is 12768583. The next prime is 12768619. The reversal of 12768600 is 686721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6982 + ... + 8618.

Almost surely, 2^12768600 is an apocalyptic number.

12768600 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 12768600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

12768600 is an abundant number, since it is smaller than the sum of its proper divisors (29884920).

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

12768600 is a wasteful number, since it uses less digits than its factorization.

12768600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 12768600 is about 3573.3177860358. The cubic root of 12768600 is about 233.7299829390.

The spelling of 12768600 in words is "twelve million, seven hundred sixty-eight thousand, six hundred".