12763040 has 24 divisors (see below), whose sum is σ = 30153060. Its totient is φ = 5105152.

The previous prime is 12763033. The next prime is 12763061. The reversal of 12763040 is 4036721.

12763040 = T₁₂₉₇ + T₁₂₉₈ + ... + T₁₃₁₁.

12763040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12306064 + 456976 = 3508^2 + 676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12762997 and 12763015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39725 + ... + 40044.

Almost surely, 2^12763040 is an apocalyptic number.

12763040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12763040 is an abundant number, since it is smaller than the sum of its proper divisors (17390020).

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

12763040 is an equidigital number, since it uses as much as digits as its factorization.

12763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79784 (or 79776 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 12763040 is about 3572.5397128653. The cubic root of 12763040 is about 233.6960526366.

Adding to 12763040 its reverse (4036721), we get a palindrome (16799761).

The spelling of 12763040 in words is "twelve million, seven hundred sixty-three thousand, forty".