12745600 has 96 divisors (see below), whose sum is σ = 36046800. Its totient is φ = 4362240.

The previous prime is 12745589. The next prime is 12745613. The reversal of 12745600 is 654721.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22116 + ... + 22684.

Almost surely, 2^12745600 is an apocalyptic number.

12745600 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 12745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023400).

12745600 is an abundant number, since it is smaller than the sum of its proper divisors (23301200).

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

12745600 is an equidigital number, since it uses as much as digits as its factorization.

12745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 12745600 is about 3570.0980378695. The cubic root of 12745600 is about 233.5895598011.

The spelling of 12745600 in words is "twelve million, seven hundred forty-five thousand, six hundred".