1266006336 has 168 divisors, whose sum is σ = 3971604960. Its totient is φ = 354751488.

The previous prime is 1266006331. The next prime is 1266006341. The reversal of 1266006336 is 6336006621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1266006331) and next prime (1266006341).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 1266006297 and 1266006306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266006331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497355 + ... + 499893.

Almost surely, 2^1266006336 is an apocalyptic number.

1266006336 is a gapful number since it is divisible by the number (16) 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 1266006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985802480).

1266006336 is an abundant number, since it is smaller than the sum of its proper divisors (2705598624).

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

1266006336 is a wasteful number, since it uses less digits than its factorization.

1266006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 1266006336 is about 35580.9827857523. The cubic root of 1266006336 is about 1081.7958051783.

The spelling of 1266006336 in words is "one billion, two hundred sixty-six million, six thousand, three hundred thirty-six".