12582400 has 60 divisors (see below), whose sum is σ = 31205592. Its totient is φ = 5027840.

The previous prime is 12582391. The next prime is 12582439. The reversal of 12582400 is 428521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12309 + ... + 13291.

Almost surely, 2^12582400 is an apocalyptic number.

12582400 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 12582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602796).

12582400 is an abundant number, since it is smaller than the sum of its proper divisors (18623192).

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

12582400 is an frugal number, since it uses more digits than its factorization.

12582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12582400 is about 3547.1678843833. The cubic root of 12582400 is about 232.5882811165.

The spelling of 12582400 in words is "twelve million, five hundred eighty-two thousand, four hundred".