1266317472 has 288 divisors, whose sum is σ = 4168281600. Its totient is φ = 328734720.

The previous prime is 1266317407. The next prime is 1266317477. The reversal of 1266317472 is 2747136621.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1266317472.

It is not an unprimeable number, because it can be changed into a prime (1266317477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21462979 + ... + 21463037.

It is an arithmetic number, because the mean of its divisors is an integer number (14473200).

Almost surely, 2^1266317472 is an apocalyptic number.

1266317472 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 1266317472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084140800).

1266317472 is an abundant number, since it is smaller than the sum of its proper divisors (2901964128).

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

1266317472 is a wasteful number, since it uses less digits than its factorization.

1266317472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 131 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 1266317472 is about 35585.3547403985. The cubic root of 1266317472 is about 1081.8844192820.

It can be divided in two parts, 12663 and 17472, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 1266317472 in words is "one billion, two hundred sixty-six million, three hundred seventeen thousand, four hundred seventy-two".