12632400 has 270 divisors, whose sum is σ = 49847070. Its totient is φ = 2956800.

The previous prime is 12632357. The next prime is 12632401. The reversal of 12632400 is 423621.

It is a happy number.

12632400 is a `hidden beast` number, since 1 + 263 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 11778624 = 924^2 + 3432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12632401) 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 53 ways as a sum of consecutive naturals, for example, 435586 + ... + 435614.

Almost surely, 2^12632400 is an apocalyptic number.

12632400 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 12632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923535).

12632400 is an abundant number, since it is smaller than the sum of its proper divisors (37214670).

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

12632400 is a wasteful number, since it uses less digits than its factorization.

12632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12632400 is about 3554.2087727088. The cubic root of 12632400 is about 232.8959607227.

It can be divided in two parts, 1263 and 2400, that added together give a palindrome (3663).

The spelling of 12632400 in words is "twelve million, six hundred thirty-two thousand, four hundred".