12815800 has 48 divisors (see below), whose sum is σ = 30076200. Its totient is φ = 5078400.

The previous prime is 12815797. The next prime is 12815813. The reversal of 12815800 is 851821.

12815800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27570 + ... + 28030.

Almost surely, 2^12815800 is an apocalyptic number.

12815800 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 12815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038100).

12815800 is an abundant number, since it is smaller than the sum of its proper divisors (17260400).

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

12815800 is a wasteful number, since it uses less digits than its factorization.

12815800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 12815800 is about 3579.9162001365. The cubic root of 12815800 is about 234.0176283990.

The spelling of 12815800 in words is "twelve million, eight hundred fifteen thousand, eight hundred".