12794688 has 84 divisors (see below), whose sum is σ = 37213540. Its totient is φ = 4202496.

The previous prime is 12794671. The next prime is 12794701. The reversal of 12794688 is 88649721.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 3504384 = 3048^2 + 1872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55758 + ... + 55986.

Almost surely, 2^12794688 is an apocalyptic number.

12794688 is a gapful number since it is divisible by the number (18) 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 12794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606770).

12794688 is an abundant number, since it is smaller than the sum of its proper divisors (24418852).

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

12794688 is a wasteful number, since it uses less digits than its factorization.

12794688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12794688 is about 3576.9663123938. The cubic root of 12794688 is about 233.8890554500.

The spelling of 12794688 in words is "twelve million, seven hundred ninety-four thousand, six hundred eighty-eight".