1267666848 has 252 divisors, whose sum is σ = 4356708930. Its totient is φ = 361863936.

The previous prime is 1267666847. The next prime is 1267666859. The reversal of 1267666848 is 8486667621.

It can be written as a sum of positive squares in only one way, i.e., 1262523024 + 5143824 = 35532^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1267666794 and 1267666803.

It is not an unprimeable number, because it can be changed into a prime (1267666843) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1142518 + ... + 1143626.

Almost surely, 2^1267666848 is an apocalyptic number.

1267666848 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 1267666848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178354465).

1267666848 is an abundant number, since it is smaller than the sum of its proper divisors (3089042082).

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

1267666848 is an equidigital number, since it uses as much as digits as its factorization.

1267666848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1121 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1267666848 is about 35604.3094020934. The cubic root of 1267666848 is about 1082.2685648243.

It can be divided in two parts, 12676 and 66848, that added together give a square (79524 = 282²).

The spelling of 1267666848 in words is "one billion, two hundred sixty-seven million, six hundred sixty-six thousand, eight hundred forty-eight".