12566400 has 384 divisors, whose sum is σ = 54639360. Its totient is φ = 2457600.

The previous prime is 12566369. The next prime is 12566419. The reversal of 12566400 is 466521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739192 + ... + 739208.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 2^12566400 is an apocalyptic number.

12566400 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 12566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

12566400 is an abundant number, since it is smaller than the sum of its proper divisors (42072960).

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

12566400 is a wasteful number, since it uses less digits than its factorization.

12566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12566400 is about 3544.9118465767. The cubic root of 12566400 is about 232.4896515223.

The spelling of 12566400 in words is "twelve million, five hundred sixty-six thousand, four hundred".