12676400 has 120 divisors (see below), whose sum is σ = 34503744. Its totient is φ = 4435200.

The previous prime is 12676387. The next prime is 12676423. The reversal of 12676400 is 467621.

It is a super-2 number, since 2×12676400² = 321382233920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12676400.

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, 189167 + ... + 189233.

Almost surely, 2^12676400 is an apocalyptic number.

12676400 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 12676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251872).

12676400 is an abundant number, since it is smaller than the sum of its proper divisors (21827344).

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

12676400 is a wasteful number, since it uses less digits than its factorization.

12676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12676400 is about 3560.3932367086. The cubic root of 12676400 is about 233.1660478959.

It can be divided in two parts, 1267 and 6400, that added together give a palindrome (7667).

The spelling of 12676400 in words is "twelve million, six hundred seventy-six thousand, four hundred".