12793600 has 54 divisors (see below), whose sum is σ = 31682000. Its totient is φ = 5114880.

The previous prime is 12793597. The next prime is 12793603. The reversal of 12793600 is 639721.

It is an interprime number because it is at equal distance from previous prime (12793597) and next prime (12793603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12793603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5401 + ... + 7399.

Almost surely, 2^12793600 is an apocalyptic number.

12793600 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 12793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841000).

12793600 is an abundant number, since it is smaller than the sum of its proper divisors (18888400).

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

12793600 is an equidigital number, since it uses as much as digits as its factorization.

12793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 12793600 is about 3576.8142249773. The cubic root of 12793600 is about 233.8824256542.

The spelling of 12793600 in words is "twelve million, seven hundred ninety-three thousand, six hundred".