12763904 has 36 divisors (see below), whose sum is σ = 25864776. Its totient is φ = 6285312.

The previous prime is 12763903. The next prime is 12763967. The reversal of 12763904 is 40936721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12763903) 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 3 ways as a sum of consecutive naturals, for example, 18347 + ... + 19029.

It is an arithmetic number, because the mean of its divisors is an integer number (718466).

Almost surely, 2^12763904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932388).

12763904 is an abundant number, since it is smaller than the sum of its proper divisors (13100872).

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

12763904 is an frugal number, since it uses more digits than its factorization.

12763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 12763904 is about 3572.6606331976. The cubic root of 12763904 is about 233.7013259057.

The spelling of 12763904 in words is "twelve million, seven hundred sixty-three thousand, nine hundred four".