12588800 has 108 divisors (see below), whose sum is σ = 35737296. Its totient is φ = 4300800.

The previous prime is 12588799. The next prime is 12588803. The reversal of 12588800 is 888521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588803) 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, 44660 + ... + 44940.

Almost surely, 2^12588800 is an apocalyptic number.

12588800 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 12588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868648).

12588800 is an abundant number, since it is smaller than the sum of its proper divisors (23148496).

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

12588800 is an equidigital number, since it uses as much as digits as its factorization.

12588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 12588800 is about 3548.0698978459. The cubic root of 12588800 is about 232.6277095426.

The spelling of 12588800 in words is "twelve million, five hundred eighty-eight thousand, eight hundred".