12526400 has 42 divisors (see below), whose sum is σ = 30826710. Its totient is φ = 5009920.

The previous prime is 12526379. The next prime is 12526417. The reversal of 12526400 is 462521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 12503296 = 152^2 + 3536^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2315 + ... + 5514.

Almost surely, 2^12526400 is an apocalyptic number.

12526400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12526400 is an abundant number, since it is smaller than the sum of its proper divisors (18300310).

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

12526400 is an equidigital number, since it uses as much as digits as its factorization.

12526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12526400 is about 3539.2654605158. The cubic root of 12526400 is about 232.2427107201.

Adding to 12526400 its reverse (462521), we get a palindrome (12988921).

The spelling of 12526400 in words is "twelve million, five hundred twenty-six thousand, four hundred".