1266283872 has 216 divisors, whose sum is σ = 4260477312. Its totient is φ = 355622400.

The previous prime is 1266283867. The next prime is 1266283873. The reversal of 1266283872 is 2783826621.

1266283872 is a `hidden beast` number, since 1 + 266 + 2 + 8 + 387 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266283873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 860097 + ... + 861567.

It is an arithmetic number, because the mean of its divisors is an integer number (19724432).

Almost surely, 2^1266283872 is an apocalyptic number.

1266283872 is a gapful number since it is divisible by the number (12) 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 1266283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130238656).

1266283872 is an abundant number, since it is smaller than the sum of its proper divisors (2994193440).

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

1266283872 is a wasteful number, since it uses less digits than its factorization.

1266283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1544 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1266283872 is about 35584.8826329384. The cubic root of 1266283872 is about 1081.8748504235.

The spelling of 1266283872 in words is "one billion, two hundred sixty-six million, two hundred eighty-three thousand, eight hundred seventy-two".