12575600 has 60 divisors (see below), whose sum is σ = 30559800. Its totient is φ = 4972800.

The previous prime is 12575569. The next prime is 12575609. The reversal of 12575600 is 657521.

It is a self number, because there is not a number n which added to its sum of digits gives 12575600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575609) 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, 59495 + ... + 59705.

It is an arithmetic number, because the mean of its divisors is an integer number (509330).

Almost surely, 2^12575600 is an apocalyptic number.

12575600 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 12575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279900).

12575600 is an abundant number, since it is smaller than the sum of its proper divisors (17984200).

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

12575600 is a wasteful number, since it uses less digits than its factorization.

12575600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 12575600 is about 3546.2092436854. The cubic root of 12575600 is about 232.5463737613.

The spelling of 12575600 in words is "twelve million, five hundred seventy-five thousand, six hundred".