12743610 has 96 divisors (see below), whose sum is σ = 35356608. Its totient is φ = 2914560.

The previous prime is 12743581. The next prime is 12743611. The reversal of 12743610 is 1634721.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12743611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174534 + ... + 174606.

It is an arithmetic number, because the mean of its divisors is an integer number (368298).

Almost surely, 2^12743610 is an apocalyptic number.

12743610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12743610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678304).

12743610 is an abundant number, since it is smaller than the sum of its proper divisors (22612998).

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

12743610 is a wasteful number, since it uses less digits than its factorization.

12743610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12743610 is about 3569.8193231591. The cubic root of 12743610 is about 233.5774022090.

Subtracting from 12743610 its reverse (1634721), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1274 and 3610, that added together give a palindrome (4884).

The spelling of 12743610 in words is "twelve million, seven hundred forty-three thousand, six hundred ten".