12662400 has 96 divisors (see below), whose sum is σ = 41738400. Its totient is φ = 3374080.

The previous prime is 12662371. The next prime is 12662401. The reversal of 12662400 is 426621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12662401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8941 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (434775).

Almost surely, 2^12662400 is an apocalyptic number.

12662400 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 12662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869200).

12662400 is an abundant number, since it is smaller than the sum of its proper divisors (29076000).

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

12662400 is a wasteful number, since it uses less digits than its factorization.

12662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12662400 is about 3558.4266186055. The cubic root of 12662400 is about 233.0801789549.

It can be divided in two parts, 126 and 62400, that added together give a palindrome (62526).

The spelling of 12662400 in words is "twelve million, six hundred sixty-two thousand, four hundred".