12740640 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 2903040.

The previous prime is 12740639. The next prime is 12740641. The reversal of 12740640 is 4604721.

It is an interprime number because it is at equal distance from previous prime (12740639) and next prime (12740641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12740640.

It is not an unprimeable number, because it can be changed into a prime (12740641) 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 31 ways as a sum of consecutive naturals, for example, 100257 + ... + 100383.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^12740640 is an apocalyptic number.

12740640 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 12740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

12740640 is an abundant number, since it is smaller than the sum of its proper divisors (33708000).

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

12740640 is a wasteful number, since it uses less digits than its factorization.

12740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12740640 is about 3569.4033114794. The cubic root of 12740640 is about 233.5592551067.

The spelling of 12740640 in words is "twelve million, seven hundred forty thousand, six hundred forty".