12590400 has 168 divisors, whose sum is σ = 42960544. Its totient is φ = 3225600.

The previous prime is 12590329. The next prime is 12590401. The reversal of 12590400 is 409521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206370 + ... + 206430.

Almost surely, 2^12590400 is an apocalyptic number.

12590400 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 12590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480272).

12590400 is an abundant number, since it is smaller than the sum of its proper divisors (30370144).

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

12590400 is a wasteful number, since it uses less digits than its factorization.

12590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 12590400 is about 3548.2953653832. The cubic root of 12590400 is about 232.6375645610.

Adding to 12590400 its reverse (409521), we get a palindrome (12999921).

It can be divided in two parts, 125 and 90400, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 12590400 in words is "twelve million, five hundred ninety thousand, four hundred".