12734600 has 48 divisors (see below), whose sum is σ = 30349620. Its totient is φ = 4966400.

The previous prime is 12734591. The next prime is 12734609. The reversal of 12734600 is 643721.

It is an interprime number because it is at equal distance from previous prime (12734591) and next prime (12734609).

It can be written as a sum of positive squares in 6 ways, for example, as 217156 + 12517444 = 466^2 + 3538^2 .

It is not an unprimeable number, because it can be changed into a prime (12734609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7424 + ... + 8976.

Almost surely, 2^12734600 is an apocalyptic number.

12734600 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 12734600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174810).

12734600 is an abundant number, since it is smaller than the sum of its proper divisors (17615020).

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

12734600 is a wasteful number, since it uses less digits than its factorization.

12734600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 12734600 is about 3568.5571313908. The cubic root of 12734600 is about 233.5223411870.

The spelling of 12734600 in words is "twelve million, seven hundred thirty-four thousand, six hundred".