12466800 has 90 divisors (see below), whose sum is σ = 43275752. Its totient is φ = 3323520.

The previous prime is 12466787. The next prime is 12466807. The reversal of 12466800 is 866421.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×12466800² = 310842204480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12466807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1869 + ... + 5331.

Almost surely, 2^12466800 is an apocalyptic number.

12466800 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 12466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637876).

12466800 is an abundant number, since it is smaller than the sum of its proper divisors (30808952).

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

12466800 is a wasteful number, since it uses less digits than its factorization.

12466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12466800 is about 3530.8355951531. The cubic root of 12466800 is about 231.8737918387.

The spelling of 12466800 in words is "twelve million, four hundred sixty-six thousand, eight hundred".