12763640 has 32 divisors (see below), whose sum is σ = 29194560. Its totient is φ = 5020800.

The previous prime is 12763637. The next prime is 12763693. The reversal of 12763640 is 4636721.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (912330).

Almost surely, 2^12763640 is an apocalyptic number.

12763640 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 12763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597280).

12763640 is an abundant number, since it is smaller than the sum of its proper divisors (16430920).

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

12763640 is a wasteful number, since it uses less digits than its factorization.

12763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 12763640 is about 3572.6236857525. The cubic root of 12763640 is about 233.6997146543.

The spelling of 12763640 in words is "twelve million, seven hundred sixty-three thousand, six hundred forty".