12435768 has 48 divisors (see below), whose sum is σ = 34933080. Its totient is φ = 4144608.

The previous prime is 12435767. The next prime is 12435793. The reversal of 12435768 is 86753421.

12435768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 5142.

Almost surely, 2^12435768 is an apocalyptic number.

12435768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12435768 is an abundant number, since it is smaller than the sum of its proper divisors (22497312).

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

12435768 is an equidigital number, since it uses as much as digits as its factorization.

12435768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6402 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12435768 is about 3526.4384299176. The cubic root of 12435768 is about 231.6812407948.

It can be divided in two parts, 12435 and 768, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12435768 in words is "twelve million, four hundred thirty-five thousand, seven hundred sixty-eight".