12773268 has 48 divisors (see below), whose sum is σ = 33472320. Its totient is φ = 4212000.

The previous prime is 12773249. The next prime is 12773269. The reversal of 12773268 is 86237721.

12773268 is digitally balanced in base 2 and base 4, because in such bases 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 zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12773269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10323 + ... + 11493.

It is an arithmetic number, because the mean of its divisors is an integer number (697340).

Almost surely, 2^12773268 is an apocalyptic number.

12773268 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 12773268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736160).

12773268 is an abundant number, since it is smaller than the sum of its proper divisors (20699052).

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

12773268 is a wasteful number, since it uses less digits than its factorization.

12773268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12773268 is about 3573.9709008329. The cubic root of 12773268 is about 233.7584621413.

It can be divided in two parts, 12773 and 268, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12773268 in words is "twelve million, seven hundred seventy-three thousand, two hundred sixty-eight".