12863760 has 320 divisors, whose sum is σ = 53329920. Its totient is φ = 2488320.

The previous prime is 12863749. The next prime is 12863771. The reversal of 12863760 is 6736821.

It is an interprime number because it is at equal distance from previous prime (12863749) and next prime (12863771).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 414945 + ... + 414975.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^12863760 is an apocalyptic number.

12863760 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 12863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26664960).

12863760 is an abundant number, since it is smaller than the sum of its proper divisors (40466160).

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

12863760 is a wasteful number, since it uses less digits than its factorization.

12863760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12863760 is about 3586.6084257973. The cubic root of 12863760 is about 234.3091829412.

The spelling of 12863760 in words is "twelve million, eight hundred sixty-three thousand, seven hundred sixty".