12815600 has 120 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 4181760.

The previous prime is 12815597. The next prime is 12815609. The reversal of 12815600 is 651821.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12815609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64301 + ... + 64499.

It is an arithmetic number, because the mean of its divisors is an integer number (307520).

Almost surely, 2^12815600 is an apocalyptic number.

12815600 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 12815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

12815600 is an abundant number, since it is smaller than the sum of its proper divisors (24086800).

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

12815600 is a wasteful number, since it uses less digits than its factorization.

12815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 12815600 is about 3579.8882664128. Note that the first 3 decimals coincide. The cubic root of 12815600 is about 234.0164110535.

The spelling of 12815600 in words is "twelve million, eight hundred fifteen thousand, six hundred".