12763360 has 48 divisors (see below), whose sum is σ = 30370032. Its totient is φ = 5068800.

The previous prime is 12763349. The next prime is 12763363. The reversal of 12763360 is 6336721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12763363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38395 + ... + 38725.

It is an arithmetic number, because the mean of its divisors is an integer number (632709).

Almost surely, 2^12763360 is an apocalyptic number.

12763360 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 12763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185016).

12763360 is an abundant number, since it is smaller than the sum of its proper divisors (17606672).

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

12763360 is a wasteful number, since it uses less digits than its factorization.

12763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 12763360 is about 3572.5844986508. The cubic root of 12763360 is about 233.6980057270.

The spelling of 12763360 in words is "twelve million, seven hundred sixty-three thousand, three hundred sixty".