12846400 has 168 divisors, whose sum is σ = 38299136. Its totient is φ = 4147200.

The previous prime is 12846377. The next prime is 12846401. The reversal of 12846400 is 464821.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12846401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347182 + ... + 347218.

Almost surely, 2^12846400 is an apocalyptic number.

12846400 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 12846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19149568).

12846400 is an abundant number, since it is smaller than the sum of its proper divisors (25452736).

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

12846400 is a wasteful number, since it uses less digits than its factorization.

12846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 12846400 is about 3584.1874950956. The cubic root of 12846400 is about 234.2037332497.

The spelling of 12846400 in words is "twelve million, eight hundred forty-six thousand, four hundred".